What is the Least Common Multiple of 44634 and 44648?

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 44634 and 44648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44634 and 44648, than apply into the LCM equation.

GCF(44634,44648) = 2
LCM(44634,44648) = ( 44634 × 44648) / 2
LCM(44634,44648) = 1992818832 / 2
LCM(44634,44648) = 996409416

Least Common Multiple (LCM) of 44634 and 44648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44634 and 44648. First we will calculate the prime factors of 44634 and 44648.

Prime Factorization of 44634

Prime Factorization of 44648

Now multiplying the highest exponent prime factors to calculate the LCM of 44634 and 44648.

LCM(44634,44648) = 2³ × 3¹ × 43¹ × 173¹ × 5581¹
LCM(44634,44648) = 996409416