What is the Least Common Multiple of 53984 and 53991?

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 53991 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 53991, than apply into the LCM equation.

GCF(53984,53991) = 7
LCM(53984,53991) = ( 53984 × 53991) / 7
LCM(53984,53991) = 2914650144 / 7
LCM(53984,53991) = 416378592

Least Common Multiple (LCM) of 53984 and 53991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53984 and 53991. First we will calculate the prime factors of 53984 and 53991.

Prime Factorization of 53984

Prime Factorization of 53991

Now multiplying the highest exponent prime factors to calculate the LCM of 53984 and 53991.

LCM(53984,53991) = 2⁵ × 7¹ × 241¹ × 3² × 857¹
LCM(53984,53991) = 416378592