What is the Least Common Multiple of 78616 and 78624?

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 78616 and 78624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78616 and 78624, than apply into the LCM equation.

GCF(78616,78624) = 8
LCM(78616,78624) = ( 78616 × 78624) / 8
LCM(78616,78624) = 6181104384 / 8
LCM(78616,78624) = 772638048

Least Common Multiple (LCM) of 78616 and 78624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78616 and 78624. First we will calculate the prime factors of 78616 and 78624.

Prime Factorization of 78616

Prime Factorization of 78624

Now multiplying the highest exponent prime factors to calculate the LCM of 78616 and 78624.

LCM(78616,78624) = 2⁵ × 31¹ × 317¹ × 3³ × 7¹ × 13¹
LCM(78616,78624) = 772638048