What is the least common multiple of 35 and 36?
To find the least common multiple (LCM) of two numbers, you need to first find the prime factorization of each number. The prime factorization of 35 is 5 x 7, and the prime factorization of 36 is 2^2 x 3^2. To calculate the LCM, you take the highest power of each prime factor that appears in either number, which gives you 2^2 x 3^2 x 5 x 7 = 2520. Therefore, the least common multiple of 35 and 36 is 2520.