What is the Least Common Multiple of 53984 and 53996?

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 53996 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 53996, than apply into the LCM equation.

GCF(53984,53996) = 4
LCM(53984,53996) = ( 53984 × 53996) / 4
LCM(53984,53996) = 2914920064 / 4
LCM(53984,53996) = 728730016

Least Common Multiple (LCM) of 53984 and 53996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53984 and 53996. First we will calculate the prime factors of 53984 and 53996.

Prime Factorization of 53984

Prime Factorization of 53996

Now multiplying the highest exponent prime factors to calculate the LCM of 53984 and 53996.

LCM(53984,53996) = 2⁵ × 7¹ × 241¹ × 13499¹
LCM(53984,53996) = 728730016