What is the Least Common Multiple of 44940 and 44944?

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 44940 and 44944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44940 and 44944, than apply into the LCM equation.

GCF(44940,44944) = 4
LCM(44940,44944) = ( 44940 × 44944) / 4
LCM(44940,44944) = 2019783360 / 4
LCM(44940,44944) = 504945840

Least Common Multiple (LCM) of 44940 and 44944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44940 and 44944. First we will calculate the prime factors of 44940 and 44944.

Prime Factorization of 44940

Prime Factorization of 44944

Now multiplying the highest exponent prime factors to calculate the LCM of 44940 and 44944.

LCM(44940,44944) = 2⁴ × 3¹ × 5¹ × 7¹ × 107¹ × 53²
LCM(44940,44944) = 504945840