What is the Least Common Multiple of 44715 and 44720?

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 44715 and 44720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44715 and 44720, than apply into the LCM equation.

GCF(44715,44720) = 5
LCM(44715,44720) = ( 44715 × 44720) / 5
LCM(44715,44720) = 1999654800 / 5
LCM(44715,44720) = 399930960

Least Common Multiple (LCM) of 44715 and 44720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44715 and 44720. First we will calculate the prime factors of 44715 and 44720.

Prime Factorization of 44715

Prime Factorization of 44720

Now multiplying the highest exponent prime factors to calculate the LCM of 44715 and 44720.

LCM(44715,44720) = 3¹ × 5¹ × 11¹ × 271¹ × 2⁴ × 13¹ × 43¹
LCM(44715,44720) = 399930960