What is the Least Common Multiple of 29170 and 29180?

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 29170 and 29180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29170 and 29180, than apply into the LCM equation.

GCF(29170,29180) = 10
LCM(29170,29180) = ( 29170 × 29180) / 10
LCM(29170,29180) = 851180600 / 10
LCM(29170,29180) = 85118060

Least Common Multiple (LCM) of 29170 and 29180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29170 and 29180. First we will calculate the prime factors of 29170 and 29180.

Prime Factorization of 29170

Prime Factorization of 29180

Now multiplying the highest exponent prime factors to calculate the LCM of 29170 and 29180.

LCM(29170,29180) = 2² × 5¹ × 2917¹ × 1459¹
LCM(29170,29180) = 85118060