What is the Least Common Multiple of 44824 and 44832?

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 44824 and 44832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44824 and 44832, than apply into the LCM equation.

GCF(44824,44832) = 8
LCM(44824,44832) = ( 44824 × 44832) / 8
LCM(44824,44832) = 2009549568 / 8
LCM(44824,44832) = 251193696

Least Common Multiple (LCM) of 44824 and 44832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44824 and 44832. First we will calculate the prime factors of 44824 and 44832.

Prime Factorization of 44824

Prime Factorization of 44832

Now multiplying the highest exponent prime factors to calculate the LCM of 44824 and 44832.

LCM(44824,44832) = 2⁵ × 13¹ × 431¹ × 3¹ × 467¹
LCM(44824,44832) = 251193696