What is the Least Common Multiple of 29640 and 29646?

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 29640 and 29646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29640 and 29646, than apply into the LCM equation.

GCF(29640,29646) = 6
LCM(29640,29646) = ( 29640 × 29646) / 6
LCM(29640,29646) = 878707440 / 6
LCM(29640,29646) = 146451240

Least Common Multiple (LCM) of 29640 and 29646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29640 and 29646. First we will calculate the prime factors of 29640 and 29646.

Prime Factorization of 29640

Prime Factorization of 29646

Now multiplying the highest exponent prime factors to calculate the LCM of 29640 and 29646.

LCM(29640,29646) = 2³ × 3⁵ × 5¹ × 13¹ × 19¹ × 61¹
LCM(29640,29646) = 146451240