What is the Least Common Multiple of 95496 and 95507?

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 95507 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 95507, than apply into the LCM equation.

GCF(95496,95507) = 1
LCM(95496,95507) = ( 95496 × 95507) / 1
LCM(95496,95507) = 9120536472 / 1
LCM(95496,95507) = 9120536472

Least Common Multiple (LCM) of 95496 and 95507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95496 and 95507. First we will calculate the prime factors of 95496 and 95507.

Prime Factorization of 95496

Prime Factorization of 95507

Now multiplying the highest exponent prime factors to calculate the LCM of 95496 and 95507.

LCM(95496,95507) = 2³ × 3¹ × 23¹ × 173¹ × 95507¹
LCM(95496,95507) = 9120536472