What is the Least Common Multiple of 50974 and 50988?

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 50974 and 50988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50974 and 50988, than apply into the LCM equation.

GCF(50974,50988) = 14
LCM(50974,50988) = ( 50974 × 50988) / 14
LCM(50974,50988) = 2599062312 / 14
LCM(50974,50988) = 185647308

Least Common Multiple (LCM) of 50974 and 50988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50974 and 50988. First we will calculate the prime factors of 50974 and 50988.

Prime Factorization of 50974

Prime Factorization of 50988

Now multiplying the highest exponent prime factors to calculate the LCM of 50974 and 50988.

LCM(50974,50988) = 2² × 7¹ × 11¹ × 331¹ × 3¹ × 607¹
LCM(50974,50988) = 185647308