What is the Least Common Multiple of 29607 and 29625?

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 29607 and 29625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29607 and 29625, than apply into the LCM equation.

GCF(29607,29625) = 3
LCM(29607,29625) = ( 29607 × 29625) / 3
LCM(29607,29625) = 877107375 / 3
LCM(29607,29625) = 292369125

Least Common Multiple (LCM) of 29607 and 29625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29607 and 29625. First we will calculate the prime factors of 29607 and 29625.

Prime Factorization of 29607

Prime Factorization of 29625

Now multiplying the highest exponent prime factors to calculate the LCM of 29607 and 29625.

LCM(29607,29625) = 3¹ × 71¹ × 139¹ × 5³ × 79¹
LCM(29607,29625) = 292369125