What is the Least Common Multiple of 34610 and 34620?

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 34610 and 34620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34610 and 34620, than apply into the LCM equation.

GCF(34610,34620) = 10
LCM(34610,34620) = ( 34610 × 34620) / 10
LCM(34610,34620) = 1198198200 / 10
LCM(34610,34620) = 119819820

Least Common Multiple (LCM) of 34610 and 34620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34610 and 34620. First we will calculate the prime factors of 34610 and 34620.

Prime Factorization of 34610

Prime Factorization of 34620

Now multiplying the highest exponent prime factors to calculate the LCM of 34610 and 34620.

LCM(34610,34620) = 2² × 5¹ × 3461¹ × 3¹ × 577¹
LCM(34610,34620) = 119819820