What is the Least Common Multiple of 78112 and 78116?

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 78112 and 78116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78112 and 78116, than apply into the LCM equation.

GCF(78112,78116) = 4
LCM(78112,78116) = ( 78112 × 78116) / 4
LCM(78112,78116) = 6101796992 / 4
LCM(78112,78116) = 1525449248

Least Common Multiple (LCM) of 78112 and 78116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78112 and 78116. First we will calculate the prime factors of 78112 and 78116.

Prime Factorization of 78112

Prime Factorization of 78116

Now multiplying the highest exponent prime factors to calculate the LCM of 78112 and 78116.

LCM(78112,78116) = 2⁵ × 2441¹ × 59¹ × 331¹
LCM(78112,78116) = 1525449248