What is the Least Common Multiple of 95766 and 95775?

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 95766 and 95775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95766 and 95775, than apply into the LCM equation.

GCF(95766,95775) = 3
LCM(95766,95775) = ( 95766 × 95775) / 3
LCM(95766,95775) = 9171988650 / 3
LCM(95766,95775) = 3057329550

Least Common Multiple (LCM) of 95766 and 95775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95766 and 95775. First we will calculate the prime factors of 95766 and 95775.

Prime Factorization of 95766

Prime Factorization of 95775

Now multiplying the highest exponent prime factors to calculate the LCM of 95766 and 95775.

LCM(95766,95775) = 2¹ × 3¹ × 11¹ × 1451¹ × 5² × 1277¹
LCM(95766,95775) = 3057329550