What is the Least Common Multiple of 29625 and 29644?

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 29625 and 29644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29625 and 29644, than apply into the LCM equation.

GCF(29625,29644) = 1
LCM(29625,29644) = ( 29625 × 29644) / 1
LCM(29625,29644) = 878203500 / 1
LCM(29625,29644) = 878203500

Least Common Multiple (LCM) of 29625 and 29644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29625 and 29644. First we will calculate the prime factors of 29625 and 29644.

Prime Factorization of 29625

Prime Factorization of 29644

Now multiplying the highest exponent prime factors to calculate the LCM of 29625 and 29644.

LCM(29625,29644) = 3¹ × 5³ × 79¹ × 2² × 7411¹
LCM(29625,29644) = 878203500