What is the Least Common Multiple of 44832 and 44842?

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 44832 and 44842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44832 and 44842, than apply into the LCM equation.

GCF(44832,44842) = 2
LCM(44832,44842) = ( 44832 × 44842) / 2
LCM(44832,44842) = 2010356544 / 2
LCM(44832,44842) = 1005178272

Least Common Multiple (LCM) of 44832 and 44842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44832 and 44842. First we will calculate the prime factors of 44832 and 44842.

Prime Factorization of 44832

Prime Factorization of 44842

Now multiplying the highest exponent prime factors to calculate the LCM of 44832 and 44842.

LCM(44832,44842) = 2⁵ × 3¹ × 467¹ × 7¹ × 3203¹
LCM(44832,44842) = 1005178272