What is the Least Common Multiple of 27300 and 27320?

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 27300 and 27320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27300 and 27320, than apply into the LCM equation.

GCF(27300,27320) = 20
LCM(27300,27320) = ( 27300 × 27320) / 20
LCM(27300,27320) = 745836000 / 20
LCM(27300,27320) = 37291800

Least Common Multiple (LCM) of 27300 and 27320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27300 and 27320. First we will calculate the prime factors of 27300 and 27320.

Prime Factorization of 27300

Prime Factorization of 27320

Now multiplying the highest exponent prime factors to calculate the LCM of 27300 and 27320.

LCM(27300,27320) = 2³ × 3¹ × 5² × 7¹ × 13¹ × 683¹
LCM(27300,27320) = 37291800