What is the Least Common Multiple of 49980 and 49992?

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 49980 and 49992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49980 and 49992, than apply into the LCM equation.

GCF(49980,49992) = 12
LCM(49980,49992) = ( 49980 × 49992) / 12
LCM(49980,49992) = 2498600160 / 12
LCM(49980,49992) = 208216680

Least Common Multiple (LCM) of 49980 and 49992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49980 and 49992. First we will calculate the prime factors of 49980 and 49992.

Prime Factorization of 49980

Prime Factorization of 49992

Now multiplying the highest exponent prime factors to calculate the LCM of 49980 and 49992.

LCM(49980,49992) = 2³ × 3¹ × 5¹ × 7² × 17¹ × 2083¹
LCM(49980,49992) = 208216680