What is the Least Common Multiple of 53952 and 53968?

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 53952 and 53968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53952 and 53968, than apply into the LCM equation.

GCF(53952,53968) = 16
LCM(53952,53968) = ( 53952 × 53968) / 16
LCM(53952,53968) = 2911681536 / 16
LCM(53952,53968) = 181980096

Least Common Multiple (LCM) of 53952 and 53968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53952 and 53968. First we will calculate the prime factors of 53952 and 53968.

Prime Factorization of 53952

Prime Factorization of 53968

Now multiplying the highest exponent prime factors to calculate the LCM of 53952 and 53968.

LCM(53952,53968) = 2⁶ × 3¹ × 281¹ × 3373¹
LCM(53952,53968) = 181980096