What is the Least Common Multiple of 44531 and 44551?

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 44531 and 44551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44531 and 44551, than apply into the LCM equation.

GCF(44531,44551) = 1
LCM(44531,44551) = ( 44531 × 44551) / 1
LCM(44531,44551) = 1983900581 / 1
LCM(44531,44551) = 1983900581

Least Common Multiple (LCM) of 44531 and 44551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44531 and 44551. First we will calculate the prime factors of 44531 and 44551.

Prime Factorization of 44531

Prime Factorization of 44551

Now multiplying the highest exponent prime factors to calculate the LCM of 44531 and 44551.

LCM(44531,44551) = 44531¹ × 13¹ × 23¹ × 149¹
LCM(44531,44551) = 1983900581