What is the Least Common Multiple of 54624 and 54644?

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 54624 and 54644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54624 and 54644, than apply into the LCM equation.

GCF(54624,54644) = 4
LCM(54624,54644) = ( 54624 × 54644) / 4
LCM(54624,54644) = 2984873856 / 4
LCM(54624,54644) = 746218464

Least Common Multiple (LCM) of 54624 and 54644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54624 and 54644. First we will calculate the prime factors of 54624 and 54644.

Prime Factorization of 54624

Prime Factorization of 54644

Now multiplying the highest exponent prime factors to calculate the LCM of 54624 and 54644.

LCM(54624,54644) = 2⁵ × 3¹ × 569¹ × 19¹ × 719¹
LCM(54624,54644) = 746218464