What is the Least Common Multiple of 44456 and 44470?

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 44456 and 44470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44456 and 44470, than apply into the LCM equation.

GCF(44456,44470) = 2
LCM(44456,44470) = ( 44456 × 44470) / 2
LCM(44456,44470) = 1976958320 / 2
LCM(44456,44470) = 988479160

Least Common Multiple (LCM) of 44456 and 44470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44456 and 44470. First we will calculate the prime factors of 44456 and 44470.

Prime Factorization of 44456

Prime Factorization of 44470

Now multiplying the highest exponent prime factors to calculate the LCM of 44456 and 44470.

LCM(44456,44470) = 2³ × 5557¹ × 5¹ × 4447¹
LCM(44456,44470) = 988479160