168
This is a classic example in which the LCM won't be the amount (24x42). A simple way (not necessarilly the best) is to go from 42,84,126 etc untill 24 fits in. In this case 168 fits into both (24x7) and (42x4).
168
Solution Method:
1. Factor 24: 2*2*2*3
2. Factor 42: 2*3*7
3. List the least common factors: 2*2*2*3*7 = 168
4. Check: 168/24=7 (no remainder is good)
5. Check: 168/42=4 (no remainder is good)
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The least common multiple (LCM) is often also called the lowest common multiple or smallest common multiple. Keep in mind that these different terms all refer to the same thing: the smallest positive integer which is a multiple of two or more numbers.
The least common multiple of 42 and 24 is 168.