What is the Least Common Multiple of 27609 and 27623?

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 27609 and 27623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27609 and 27623, than apply into the LCM equation.

GCF(27609,27623) = 1
LCM(27609,27623) = ( 27609 × 27623) / 1
LCM(27609,27623) = 762643407 / 1
LCM(27609,27623) = 762643407

Least Common Multiple (LCM) of 27609 and 27623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27609 and 27623. First we will calculate the prime factors of 27609 and 27623.

Prime Factorization of 27609

Prime Factorization of 27623

Now multiplying the highest exponent prime factors to calculate the LCM of 27609 and 27623.

LCM(27609,27623) = 3¹ × 9203¹ × 23¹ × 1201¹
LCM(27609,27623) = 762643407