What is the Least Common Multiple of 29625 and 29632?

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 29632 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 29632, than apply into the LCM equation.

GCF(29625,29632) = 1
LCM(29625,29632) = ( 29625 × 29632) / 1
LCM(29625,29632) = 877848000 / 1
LCM(29625,29632) = 877848000

Least Common Multiple (LCM) of 29625 and 29632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29625 and 29632. First we will calculate the prime factors of 29625 and 29632.

Prime Factorization of 29625

Prime Factorization of 29632

Now multiplying the highest exponent prime factors to calculate the LCM of 29625 and 29632.

LCM(29625,29632) = 3¹ × 5³ × 79¹ × 2⁶ × 463¹
LCM(29625,29632) = 877848000