What is the Least Common Multiple of 44912 and 44926?

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 44912 and 44926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44912 and 44926, than apply into the LCM equation.

GCF(44912,44926) = 14
LCM(44912,44926) = ( 44912 × 44926) / 14
LCM(44912,44926) = 2017716512 / 14
LCM(44912,44926) = 144122608

Least Common Multiple (LCM) of 44912 and 44926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44912 and 44926. First we will calculate the prime factors of 44912 and 44926.

Prime Factorization of 44912

Prime Factorization of 44926

Now multiplying the highest exponent prime factors to calculate the LCM of 44912 and 44926.

LCM(44912,44926) = 2⁴ × 7¹ × 401¹ × 3209¹
LCM(44912,44926) = 144122608