What is the Least Common Multiple of 34660 and 34676?

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 34660 and 34676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34660 and 34676, than apply into the LCM equation.

GCF(34660,34676) = 4
LCM(34660,34676) = ( 34660 × 34676) / 4
LCM(34660,34676) = 1201870160 / 4
LCM(34660,34676) = 300467540

Least Common Multiple (LCM) of 34660 and 34676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34660 and 34676. First we will calculate the prime factors of 34660 and 34676.

Prime Factorization of 34660

Prime Factorization of 34676

Now multiplying the highest exponent prime factors to calculate the LCM of 34660 and 34676.

LCM(34660,34676) = 2² × 5¹ × 1733¹ × 8669¹
LCM(34660,34676) = 300467540