What is the Least Common Multiple of 53964 and 53984?

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 53964 and 53984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53964 and 53984, than apply into the LCM equation.

GCF(53964,53984) = 4
LCM(53964,53984) = ( 53964 × 53984) / 4
LCM(53964,53984) = 2913192576 / 4
LCM(53964,53984) = 728298144

Least Common Multiple (LCM) of 53964 and 53984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53964 and 53984. First we will calculate the prime factors of 53964 and 53984.

Prime Factorization of 53964

Prime Factorization of 53984

Now multiplying the highest exponent prime factors to calculate the LCM of 53964 and 53984.

LCM(53964,53984) = 2⁵ × 3² × 1499¹ × 7¹ × 241¹
LCM(53964,53984) = 728298144