What is the Least Common Multiple of 95764 and 95772?

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 95764 and 95772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95764 and 95772, than apply into the LCM equation.

GCF(95764,95772) = 4
LCM(95764,95772) = ( 95764 × 95772) / 4
LCM(95764,95772) = 9171509808 / 4
LCM(95764,95772) = 2292877452

Least Common Multiple (LCM) of 95764 and 95772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95764 and 95772. First we will calculate the prime factors of 95764 and 95772.

Prime Factorization of 95764

Prime Factorization of 95772

Now multiplying the highest exponent prime factors to calculate the LCM of 95764 and 95772.

LCM(95764,95772) = 2² × 89¹ × 269¹ × 3¹ × 23¹ × 347¹
LCM(95764,95772) = 2292877452