What is the Least Common Multiple of 78988 and 78992?

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 78988 and 78992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78988 and 78992, than apply into the LCM equation.

GCF(78988,78992) = 4
LCM(78988,78992) = ( 78988 × 78992) / 4
LCM(78988,78992) = 6239420096 / 4
LCM(78988,78992) = 1559855024

Least Common Multiple (LCM) of 78988 and 78992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78988 and 78992. First we will calculate the prime factors of 78988 and 78992.

Prime Factorization of 78988

Prime Factorization of 78992

Now multiplying the highest exponent prime factors to calculate the LCM of 78988 and 78992.

LCM(78988,78992) = 2⁴ × 7² × 13¹ × 31¹ × 4937¹
LCM(78988,78992) = 1559855024