What is the Least Common Multiple of 29625 and 29633?

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 29633 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 29633, than apply into the LCM equation.

GCF(29625,29633) = 1
LCM(29625,29633) = ( 29625 × 29633) / 1
LCM(29625,29633) = 877877625 / 1
LCM(29625,29633) = 877877625

Least Common Multiple (LCM) of 29625 and 29633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29625 and 29633. First we will calculate the prime factors of 29625 and 29633.

Prime Factorization of 29625

Prime Factorization of 29633

Now multiplying the highest exponent prime factors to calculate the LCM of 29625 and 29633.

LCM(29625,29633) = 3¹ × 5³ × 79¹ × 29633¹
LCM(29625,29633) = 877877625