What is the Least Common Multiple of 29609 and 29627?

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 29609 and 29627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29609 and 29627, than apply into the LCM equation.

GCF(29609,29627) = 1
LCM(29609,29627) = ( 29609 × 29627) / 1
LCM(29609,29627) = 877225843 / 1
LCM(29609,29627) = 877225843

Least Common Multiple (LCM) of 29609 and 29627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29609 and 29627. First we will calculate the prime factors of 29609 and 29627.

Prime Factorization of 29609

Prime Factorization of 29627

Now multiplying the highest exponent prime factors to calculate the LCM of 29609 and 29627.

LCM(29609,29627) = 29¹ × 1021¹ × 13¹ × 43¹ × 53¹
LCM(29609,29627) = 877225843