What is the Least Common Multiple of 69606 and 69623?

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 69606 and 69623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69606 and 69623, than apply into the LCM equation.

GCF(69606,69623) = 1
LCM(69606,69623) = ( 69606 × 69623) / 1
LCM(69606,69623) = 4846178538 / 1
LCM(69606,69623) = 4846178538

Least Common Multiple (LCM) of 69606 and 69623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69606 and 69623. First we will calculate the prime factors of 69606 and 69623.

Prime Factorization of 69606

Prime Factorization of 69623

Now multiplying the highest exponent prime factors to calculate the LCM of 69606 and 69623.

LCM(69606,69623) = 2¹ × 3³ × 1289¹ × 69623¹
LCM(69606,69623) = 4846178538