What is the Least Common Multiple of 44438 and 44445?

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 44438 and 44445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44438 and 44445, than apply into the LCM equation.

GCF(44438,44445) = 1
LCM(44438,44445) = ( 44438 × 44445) / 1
LCM(44438,44445) = 1975046910 / 1
LCM(44438,44445) = 1975046910

Least Common Multiple (LCM) of 44438 and 44445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44438 and 44445. First we will calculate the prime factors of 44438 and 44445.

Prime Factorization of 44438

Prime Factorization of 44445

Now multiplying the highest exponent prime factors to calculate the LCM of 44438 and 44445.

LCM(44438,44445) = 2¹ × 17¹ × 1307¹ × 3¹ × 5¹ × 2963¹
LCM(44438,44445) = 1975046910