What is the Least Common Multiple of 29076 and 29088?

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 29076 and 29088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29076 and 29088, than apply into the LCM equation.

GCF(29076,29088) = 12
LCM(29076,29088) = ( 29076 × 29088) / 12
LCM(29076,29088) = 845762688 / 12
LCM(29076,29088) = 70480224

Least Common Multiple (LCM) of 29076 and 29088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29076 and 29088. First we will calculate the prime factors of 29076 and 29088.

Prime Factorization of 29076

Prime Factorization of 29088

Now multiplying the highest exponent prime factors to calculate the LCM of 29076 and 29088.

LCM(29076,29088) = 2⁵ × 3² × 2423¹ × 101¹
LCM(29076,29088) = 70480224