What is the Least Common Multiple of 95475 and 95484?

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 95475 and 95484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95475 and 95484, than apply into the LCM equation.

GCF(95475,95484) = 3
LCM(95475,95484) = ( 95475 × 95484) / 3
LCM(95475,95484) = 9116334900 / 3
LCM(95475,95484) = 3038778300

Least Common Multiple (LCM) of 95475 and 95484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95475 and 95484. First we will calculate the prime factors of 95475 and 95484.

Prime Factorization of 95475

Prime Factorization of 95484

Now multiplying the highest exponent prime factors to calculate the LCM of 95475 and 95484.

LCM(95475,95484) = 3¹ × 5² × 19¹ × 67¹ × 2² × 73¹ × 109¹
LCM(95475,95484) = 3038778300