What is the Least Common Multiple of 48942 and 48957?

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 48942 and 48957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48942 and 48957, than apply into the LCM equation.

GCF(48942,48957) = 3
LCM(48942,48957) = ( 48942 × 48957) / 3
LCM(48942,48957) = 2396053494 / 3
LCM(48942,48957) = 798684498

Least Common Multiple (LCM) of 48942 and 48957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48942 and 48957. First we will calculate the prime factors of 48942 and 48957.

Prime Factorization of 48942

Prime Factorization of 48957

Now multiplying the highest exponent prime factors to calculate the LCM of 48942 and 48957.

LCM(48942,48957) = 2¹ × 3² × 2719¹ × 16319¹
LCM(48942,48957) = 798684498