What is the Least Common Multiple of 44044 and 44050?

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 44044 and 44050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44044 and 44050, than apply into the LCM equation.

GCF(44044,44050) = 2
LCM(44044,44050) = ( 44044 × 44050) / 2
LCM(44044,44050) = 1940138200 / 2
LCM(44044,44050) = 970069100

Least Common Multiple (LCM) of 44044 and 44050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44044 and 44050. First we will calculate the prime factors of 44044 and 44050.

Prime Factorization of 44044

Prime Factorization of 44050

Now multiplying the highest exponent prime factors to calculate the LCM of 44044 and 44050.

LCM(44044,44050) = 2² × 7¹ × 11² × 13¹ × 5² × 881¹
LCM(44044,44050) = 970069100