What is the Least Common Multiple of 29580 and 29596?

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 29580 and 29596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29580 and 29596, than apply into the LCM equation.

GCF(29580,29596) = 4
LCM(29580,29596) = ( 29580 × 29596) / 4
LCM(29580,29596) = 875449680 / 4
LCM(29580,29596) = 218862420

Least Common Multiple (LCM) of 29580 and 29596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29580 and 29596. First we will calculate the prime factors of 29580 and 29596.

Prime Factorization of 29580

Prime Factorization of 29596

Now multiplying the highest exponent prime factors to calculate the LCM of 29580 and 29596.

LCM(29580,29596) = 2² × 3¹ × 5¹ × 17¹ × 29¹ × 7² × 151¹
LCM(29580,29596) = 218862420