What is the Least Common Multiple of 77600 and 77616?

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 77600 and 77616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77600 and 77616, than apply into the LCM equation.

GCF(77600,77616) = 16
LCM(77600,77616) = ( 77600 × 77616) / 16
LCM(77600,77616) = 6023001600 / 16
LCM(77600,77616) = 376437600

Least Common Multiple (LCM) of 77600 and 77616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77600 and 77616. First we will calculate the prime factors of 77600 and 77616.

Prime Factorization of 77600

Prime Factorization of 77616

Now multiplying the highest exponent prime factors to calculate the LCM of 77600 and 77616.

LCM(77600,77616) = 2⁵ × 5² × 97¹ × 3² × 7² × 11¹
LCM(77600,77616) = 376437600