What is the Least Common Multiple of 95496 and 95509?

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 95496 and 95509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95496 and 95509, than apply into the LCM equation.

GCF(95496,95509) = 1
LCM(95496,95509) = ( 95496 × 95509) / 1
LCM(95496,95509) = 9120727464 / 1
LCM(95496,95509) = 9120727464

Least Common Multiple (LCM) of 95496 and 95509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95496 and 95509. First we will calculate the prime factors of 95496 and 95509.

Prime Factorization of 95496

Prime Factorization of 95509

Now multiplying the highest exponent prime factors to calculate the LCM of 95496 and 95509.

LCM(95496,95509) = 2³ × 3¹ × 23¹ × 173¹ × 149¹ × 641¹
LCM(95496,95509) = 9120727464