What is the Least Common Multiple of 36609 and 36623?

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 36609 and 36623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36609 and 36623, than apply into the LCM equation.

GCF(36609,36623) = 1
LCM(36609,36623) = ( 36609 × 36623) / 1
LCM(36609,36623) = 1340731407 / 1
LCM(36609,36623) = 1340731407

Least Common Multiple (LCM) of 36609 and 36623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36609 and 36623. First we will calculate the prime factors of 36609 and 36623.

Prime Factorization of 36609

Prime Factorization of 36623

Now multiplying the highest exponent prime factors to calculate the LCM of 36609 and 36623.

LCM(36609,36623) = 3¹ × 12203¹ × 53¹ × 691¹
LCM(36609,36623) = 1340731407