What is the Least Common Multiple of 44950 and 44962?

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 44950 and 44962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44950 and 44962, than apply into the LCM equation.

GCF(44950,44962) = 2
LCM(44950,44962) = ( 44950 × 44962) / 2
LCM(44950,44962) = 2021041900 / 2
LCM(44950,44962) = 1010520950

Least Common Multiple (LCM) of 44950 and 44962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44950 and 44962. First we will calculate the prime factors of 44950 and 44962.

Prime Factorization of 44950

Prime Factorization of 44962

Now multiplying the highest exponent prime factors to calculate the LCM of 44950 and 44962.

LCM(44950,44962) = 2¹ × 5² × 29¹ × 31¹ × 22481¹
LCM(44950,44962) = 1010520950