What is the Least Common Multiple of 93512 and 93526?

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 93512 and 93526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93512 and 93526, than apply into the LCM equation.

GCF(93512,93526) = 2
LCM(93512,93526) = ( 93512 × 93526) / 2
LCM(93512,93526) = 8745803312 / 2
LCM(93512,93526) = 4372901656

Least Common Multiple (LCM) of 93512 and 93526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93512 and 93526. First we will calculate the prime factors of 93512 and 93526.

Prime Factorization of 93512

Prime Factorization of 93526

Now multiplying the highest exponent prime factors to calculate the LCM of 93512 and 93526.

LCM(93512,93526) = 2³ × 11689¹ × 101¹ × 463¹
LCM(93512,93526) = 4372901656