What is the Least Common Multiple of 66609 and 66613?

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 66609 and 66613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66609 and 66613, than apply into the LCM equation.

GCF(66609,66613) = 1
LCM(66609,66613) = ( 66609 × 66613) / 1
LCM(66609,66613) = 4437025317 / 1
LCM(66609,66613) = 4437025317

Least Common Multiple (LCM) of 66609 and 66613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66609 and 66613. First we will calculate the prime factors of 66609 and 66613.

Prime Factorization of 66609

Prime Factorization of 66613

Now multiplying the highest exponent prime factors to calculate the LCM of 66609 and 66613.

LCM(66609,66613) = 3³ × 2467¹ × 29¹ × 2297¹
LCM(66609,66613) = 4437025317