What is the Least Common Multiple of 69591 and 69609?

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 69591 and 69609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69591 and 69609, than apply into the LCM equation.

GCF(69591,69609) = 3
LCM(69591,69609) = ( 69591 × 69609) / 3
LCM(69591,69609) = 4844159919 / 3
LCM(69591,69609) = 1614719973

Least Common Multiple (LCM) of 69591 and 69609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69591 and 69609. First we will calculate the prime factors of 69591 and 69609.

Prime Factorization of 69591

Prime Factorization of 69609

Now multiplying the highest exponent prime factors to calculate the LCM of 69591 and 69609.

LCM(69591,69609) = 3¹ × 23197¹ × 23203¹
LCM(69591,69609) = 1614719973