What is the Least Common Multiple of 27360 and 27370?

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 27360 and 27370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27360 and 27370, than apply into the LCM equation.

GCF(27360,27370) = 10
LCM(27360,27370) = ( 27360 × 27370) / 10
LCM(27360,27370) = 748843200 / 10
LCM(27360,27370) = 74884320

Least Common Multiple (LCM) of 27360 and 27370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27360 and 27370. First we will calculate the prime factors of 27360 and 27370.

Prime Factorization of 27360

Prime Factorization of 27370

Now multiplying the highest exponent prime factors to calculate the LCM of 27360 and 27370.

LCM(27360,27370) = 2⁵ × 3² × 5¹ × 19¹ × 7¹ × 17¹ × 23¹
LCM(27360,27370) = 74884320