What is the Least Common Multiple of 95772 and 95785?

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 95772 and 95785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95772 and 95785, than apply into the LCM equation.

GCF(95772,95785) = 1
LCM(95772,95785) = ( 95772 × 95785) / 1
LCM(95772,95785) = 9173521020 / 1
LCM(95772,95785) = 9173521020

Least Common Multiple (LCM) of 95772 and 95785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95772 and 95785. First we will calculate the prime factors of 95772 and 95785.

Prime Factorization of 95772

Prime Factorization of 95785

Now multiplying the highest exponent prime factors to calculate the LCM of 95772 and 95785.

LCM(95772,95785) = 2² × 3¹ × 23¹ × 347¹ × 5¹ × 19157¹
LCM(95772,95785) = 9173521020