What is the Least Common Multiple of 54924 and 54944?

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 54924 and 54944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54924 and 54944, than apply into the LCM equation.

GCF(54924,54944) = 4
LCM(54924,54944) = ( 54924 × 54944) / 4
LCM(54924,54944) = 3017744256 / 4
LCM(54924,54944) = 754436064

Least Common Multiple (LCM) of 54924 and 54944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54924 and 54944. First we will calculate the prime factors of 54924 and 54944.

Prime Factorization of 54924

Prime Factorization of 54944

Now multiplying the highest exponent prime factors to calculate the LCM of 54924 and 54944.

LCM(54924,54944) = 2⁵ × 3¹ × 23¹ × 199¹ × 17¹ × 101¹
LCM(54924,54944) = 754436064