What is the Least Common Multiple of 44425 and 44438?

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 44425 and 44438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44425 and 44438, than apply into the LCM equation.

GCF(44425,44438) = 1
LCM(44425,44438) = ( 44425 × 44438) / 1
LCM(44425,44438) = 1974158150 / 1
LCM(44425,44438) = 1974158150

Least Common Multiple (LCM) of 44425 and 44438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44425 and 44438. First we will calculate the prime factors of 44425 and 44438.

Prime Factorization of 44425

Prime Factorization of 44438

Now multiplying the highest exponent prime factors to calculate the LCM of 44425 and 44438.

LCM(44425,44438) = 5² × 1777¹ × 2¹ × 17¹ × 1307¹
LCM(44425,44438) = 1974158150