What is the Least Common Multiple of 49988 and 49998?

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 49988 and 49998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49988 and 49998, than apply into the LCM equation.

GCF(49988,49998) = 2
LCM(49988,49998) = ( 49988 × 49998) / 2
LCM(49988,49998) = 2499300024 / 2
LCM(49988,49998) = 1249650012

Least Common Multiple (LCM) of 49988 and 49998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49988 and 49998. First we will calculate the prime factors of 49988 and 49998.

Prime Factorization of 49988

Prime Factorization of 49998

Now multiplying the highest exponent prime factors to calculate the LCM of 49988 and 49998.

LCM(49988,49998) = 2² × 12497¹ × 3¹ × 13¹ × 641¹
LCM(49988,49998) = 1249650012