What is the Least Common Multiple of 95456 and 95475?

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 95456 and 95475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95456 and 95475, than apply into the LCM equation.

GCF(95456,95475) = 19
LCM(95456,95475) = ( 95456 × 95475) / 19
LCM(95456,95475) = 9113661600 / 19
LCM(95456,95475) = 479666400

Least Common Multiple (LCM) of 95456 and 95475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95456 and 95475. First we will calculate the prime factors of 95456 and 95475.

Prime Factorization of 95456

Prime Factorization of 95475

Now multiplying the highest exponent prime factors to calculate the LCM of 95456 and 95475.

LCM(95456,95475) = 2⁵ × 19¹ × 157¹ × 3¹ × 5² × 67¹
LCM(95456,95475) = 479666400