What is the Least Common Multiple of 27390 and 27408?

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 27390 and 27408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27390 and 27408, than apply into the LCM equation.

GCF(27390,27408) = 6
LCM(27390,27408) = ( 27390 × 27408) / 6
LCM(27390,27408) = 750705120 / 6
LCM(27390,27408) = 125117520

Least Common Multiple (LCM) of 27390 and 27408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27390 and 27408. First we will calculate the prime factors of 27390 and 27408.

Prime Factorization of 27390

Prime Factorization of 27408

Now multiplying the highest exponent prime factors to calculate the LCM of 27390 and 27408.

LCM(27390,27408) = 2⁴ × 3¹ × 5¹ × 11¹ × 83¹ × 571¹
LCM(27390,27408) = 125117520