What is the Least Common Multiple of 27549 and 27567?

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 27549 and 27567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27549 and 27567, than apply into the LCM equation.

GCF(27549,27567) = 9
LCM(27549,27567) = ( 27549 × 27567) / 9
LCM(27549,27567) = 759443283 / 9
LCM(27549,27567) = 84382587

Least Common Multiple (LCM) of 27549 and 27567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27549 and 27567. First we will calculate the prime factors of 27549 and 27567.

Prime Factorization of 27549

Prime Factorization of 27567

Now multiplying the highest exponent prime factors to calculate the LCM of 27549 and 27567.

LCM(27549,27567) = 3³ × 3061¹ × 1021¹
LCM(27549,27567) = 84382587