What is the Least Common Multiple of 53946 and 53964?

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 53946 and 53964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53946 and 53964, than apply into the LCM equation.

GCF(53946,53964) = 18
LCM(53946,53964) = ( 53946 × 53964) / 18
LCM(53946,53964) = 2911141944 / 18
LCM(53946,53964) = 161730108

Least Common Multiple (LCM) of 53946 and 53964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53946 and 53964. First we will calculate the prime factors of 53946 and 53964.

Prime Factorization of 53946

Prime Factorization of 53964

Now multiplying the highest exponent prime factors to calculate the LCM of 53946 and 53964.

LCM(53946,53964) = 2² × 3⁶ × 37¹ × 1499¹
LCM(53946,53964) = 161730108