What is the Least Common Multiple of 44715 and 44735?

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 44735 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 44735, than apply into the LCM equation.

GCF(44715,44735) = 5
LCM(44715,44735) = ( 44715 × 44735) / 5
LCM(44715,44735) = 2000325525 / 5
LCM(44715,44735) = 400065105

Least Common Multiple (LCM) of 44715 and 44735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44715 and 44735. First we will calculate the prime factors of 44715 and 44735.

Prime Factorization of 44715

Prime Factorization of 44735

Now multiplying the highest exponent prime factors to calculate the LCM of 44715 and 44735.

LCM(44715,44735) = 3¹ × 5¹ × 11¹ × 271¹ × 23¹ × 389¹
LCM(44715,44735) = 400065105