What is the Least Common Multiple of 77496 and 77507?

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 77496 and 77507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77496 and 77507, than apply into the LCM equation.

GCF(77496,77507) = 1
LCM(77496,77507) = ( 77496 × 77507) / 1
LCM(77496,77507) = 6006482472 / 1
LCM(77496,77507) = 6006482472

Least Common Multiple (LCM) of 77496 and 77507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77496 and 77507. First we will calculate the prime factors of 77496 and 77507.

Prime Factorization of 77496

Prime Factorization of 77507

Now multiplying the highest exponent prime factors to calculate the LCM of 77496 and 77507.

LCM(77496,77507) = 2³ × 3¹ × 3229¹ × 179¹ × 433¹
LCM(77496,77507) = 6006482472