What is the Least Common Multiple of 48972 and 48984?

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 48972 and 48984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48972 and 48984, than apply into the LCM equation.

GCF(48972,48984) = 12
LCM(48972,48984) = ( 48972 × 48984) / 12
LCM(48972,48984) = 2398844448 / 12
LCM(48972,48984) = 199903704

Least Common Multiple (LCM) of 48972 and 48984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48972 and 48984. First we will calculate the prime factors of 48972 and 48984.

Prime Factorization of 48972

Prime Factorization of 48984

Now multiplying the highest exponent prime factors to calculate the LCM of 48972 and 48984.

LCM(48972,48984) = 2³ × 3¹ × 7¹ × 11¹ × 53¹ × 13¹ × 157¹
LCM(48972,48984) = 199903704