What is the Least Common Multiple of 53968 and 53976?

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 53968 and 53976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53968 and 53976, than apply into the LCM equation.

GCF(53968,53976) = 8
LCM(53968,53976) = ( 53968 × 53976) / 8
LCM(53968,53976) = 2912976768 / 8
LCM(53968,53976) = 364122096

Least Common Multiple (LCM) of 53968 and 53976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53968 and 53976. First we will calculate the prime factors of 53968 and 53976.

Prime Factorization of 53968

Prime Factorization of 53976

Now multiplying the highest exponent prime factors to calculate the LCM of 53968 and 53976.

LCM(53968,53976) = 2⁴ × 3373¹ × 3¹ × 13¹ × 173¹
LCM(53968,53976) = 364122096