What is the Least Common Multiple of 27213 and 27225?

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 27213 and 27225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27213 and 27225, than apply into the LCM equation.

GCF(27213,27225) = 3
LCM(27213,27225) = ( 27213 × 27225) / 3
LCM(27213,27225) = 740873925 / 3
LCM(27213,27225) = 246957975

Least Common Multiple (LCM) of 27213 and 27225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27213 and 27225. First we will calculate the prime factors of 27213 and 27225.

Prime Factorization of 27213

Prime Factorization of 27225

Now multiplying the highest exponent prime factors to calculate the LCM of 27213 and 27225.

LCM(27213,27225) = 3² × 47¹ × 193¹ × 5² × 11²
LCM(27213,27225) = 246957975