What is the Least Common Multiple of 44416 and 44435?

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 44416 and 44435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44416 and 44435, than apply into the LCM equation.

GCF(44416,44435) = 1
LCM(44416,44435) = ( 44416 × 44435) / 1
LCM(44416,44435) = 1973624960 / 1
LCM(44416,44435) = 1973624960

Least Common Multiple (LCM) of 44416 and 44435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44416 and 44435. First we will calculate the prime factors of 44416 and 44435.

Prime Factorization of 44416

Prime Factorization of 44435

Now multiplying the highest exponent prime factors to calculate the LCM of 44416 and 44435.

LCM(44416,44435) = 2⁷ × 347¹ × 5¹ × 8887¹
LCM(44416,44435) = 1973624960