What is the Least Common Multiple of 29792 and 29812?

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 29792 and 29812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29792 and 29812, than apply into the LCM equation.

GCF(29792,29812) = 4
LCM(29792,29812) = ( 29792 × 29812) / 4
LCM(29792,29812) = 888159104 / 4
LCM(29792,29812) = 222039776

Least Common Multiple (LCM) of 29792 and 29812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29792 and 29812. First we will calculate the prime factors of 29792 and 29812.

Prime Factorization of 29792

Prime Factorization of 29812

Now multiplying the highest exponent prime factors to calculate the LCM of 29792 and 29812.

LCM(29792,29812) = 2⁵ × 7² × 19¹ × 29¹ × 257¹
LCM(29792,29812) = 222039776