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lcm(9, 12) = 36; hcf(9, 12) = 3.
2 and 20 have an HCF of 2 and an LCM of 20. You could also use 4 and 10.
HCF means the highest common factor of two or more numbers. LCM means the lowest common multiple of two or more numbers.
Write 100 and 120 in their prime compositions in power form: 100 = 223052 120 = 233151 For hcf, take lowest power of each prime across the compositions; for LCM, take highest powers: hcf = 223051 = 4 x 1 x 5 = 20 LCM = 233152 = 8 x 3 x 25 = 600
It's kind of an inverse relationship. The product of the GCF and LCM of two numbers is the same as the product of the original two numbers, so as the GCF increases, the LCM decreases and vice versa. LCM is divisable by HCF.