What is the Least Common Multiple of 78936 and 78949?

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 78936 and 78949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78936 and 78949, than apply into the LCM equation.

GCF(78936,78949) = 13
LCM(78936,78949) = ( 78936 × 78949) / 13
LCM(78936,78949) = 6231918264 / 13
LCM(78936,78949) = 479378328

Least Common Multiple (LCM) of 78936 and 78949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78936 and 78949. First we will calculate the prime factors of 78936 and 78949.

Prime Factorization of 78936

Prime Factorization of 78949

Now multiplying the highest exponent prime factors to calculate the LCM of 78936 and 78949.

LCM(78936,78949) = 2³ × 3¹ × 11¹ × 13¹ × 23¹ × 6073¹
LCM(78936,78949) = 479378328