What is the Least Common Multiple of 53984 and 53992?

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 53984 and 53992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53984 and 53992, than apply into the LCM equation.

GCF(53984,53992) = 8
LCM(53984,53992) = ( 53984 × 53992) / 8
LCM(53984,53992) = 2914704128 / 8
LCM(53984,53992) = 364338016

Least Common Multiple (LCM) of 53984 and 53992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53984 and 53992. First we will calculate the prime factors of 53984 and 53992.

Prime Factorization of 53984

Prime Factorization of 53992

Now multiplying the highest exponent prime factors to calculate the LCM of 53984 and 53992.

LCM(53984,53992) = 2⁵ × 7¹ × 241¹ × 17¹ × 397¹
LCM(53984,53992) = 364338016