What is the Least Common Multiple of 95792 and 95805?

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 95792 and 95805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95792 and 95805, than apply into the LCM equation.

GCF(95792,95805) = 1
LCM(95792,95805) = ( 95792 × 95805) / 1
LCM(95792,95805) = 9177352560 / 1
LCM(95792,95805) = 9177352560

Least Common Multiple (LCM) of 95792 and 95805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95792 and 95805. First we will calculate the prime factors of 95792 and 95805.

Prime Factorization of 95792

Prime Factorization of 95805

Now multiplying the highest exponent prime factors to calculate the LCM of 95792 and 95805.

LCM(95792,95805) = 2⁴ × 5987¹ × 3² × 5¹ × 2129¹
LCM(95792,95805) = 9177352560