What is the Least Common Multiple of 92512 and 92516?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 92512 and 92516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92512 and 92516, than apply into the LCM equation.

GCF(92512,92516) = 4
LCM(92512,92516) = ( 92512 × 92516) / 4
LCM(92512,92516) = 8558840192 / 4
LCM(92512,92516) = 2139710048

Least Common Multiple (LCM) of 92512 and 92516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92512 and 92516. First we will calculate the prime factors of 92512 and 92516.

Prime Factorization of 92512

Prime Factorization of 92516

Now multiplying the highest exponent prime factors to calculate the LCM of 92512 and 92516.

LCM(92512,92516) = 2⁵ × 7² × 59¹ × 101¹ × 229¹
LCM(92512,92516) = 2139710048