What is the Least Common Multiple of 95772 and 95792?

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 95792 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 95792, than apply into the LCM equation.

GCF(95772,95792) = 4
LCM(95772,95792) = ( 95772 × 95792) / 4
LCM(95772,95792) = 9174191424 / 4
LCM(95772,95792) = 2293547856

Least Common Multiple (LCM) of 95772 and 95792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95772 and 95792. First we will calculate the prime factors of 95772 and 95792.

Prime Factorization of 95772

Prime Factorization of 95792

Now multiplying the highest exponent prime factors to calculate the LCM of 95772 and 95792.

LCM(95772,95792) = 2⁴ × 3¹ × 23¹ × 347¹ × 5987¹
LCM(95772,95792) = 2293547856