What is the Least Common Multiple of 69609 and 69627?

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 69609 and 69627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69609 and 69627, than apply into the LCM equation.

GCF(69609,69627) = 3
LCM(69609,69627) = ( 69609 × 69627) / 3
LCM(69609,69627) = 4846665843 / 3
LCM(69609,69627) = 1615555281

Least Common Multiple (LCM) of 69609 and 69627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69609 and 69627. First we will calculate the prime factors of 69609 and 69627.

Prime Factorization of 69609

Prime Factorization of 69627

Now multiplying the highest exponent prime factors to calculate the LCM of 69609 and 69627.

LCM(69609,69627) = 3¹ × 23203¹ × 23209¹
LCM(69609,69627) = 1615555281