What is the Least Common Multiple of 49968 and 49974?

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 49968 and 49974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49968 and 49974, than apply into the LCM equation.

GCF(49968,49974) = 6
LCM(49968,49974) = ( 49968 × 49974) / 6
LCM(49968,49974) = 2497100832 / 6
LCM(49968,49974) = 416183472

Least Common Multiple (LCM) of 49968 and 49974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49968 and 49974. First we will calculate the prime factors of 49968 and 49974.

Prime Factorization of 49968

Prime Factorization of 49974

Now multiplying the highest exponent prime factors to calculate the LCM of 49968 and 49974.

LCM(49968,49974) = 2⁴ × 3² × 347¹ × 8329¹
LCM(49968,49974) = 416183472