What is the Least Common Multiple of 44736 and 44746?

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 44736 and 44746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44736 and 44746, than apply into the LCM equation.

GCF(44736,44746) = 2
LCM(44736,44746) = ( 44736 × 44746) / 2
LCM(44736,44746) = 2001757056 / 2
LCM(44736,44746) = 1000878528

Least Common Multiple (LCM) of 44736 and 44746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44736 and 44746. First we will calculate the prime factors of 44736 and 44746.

Prime Factorization of 44736

Prime Factorization of 44746

Now multiplying the highest exponent prime factors to calculate the LCM of 44736 and 44746.

LCM(44736,44746) = 2⁶ × 3¹ × 233¹ × 13¹ × 1721¹
LCM(44736,44746) = 1000878528