What is the Least Common Multiple of 27230 and 27240?

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 27230 and 27240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27230 and 27240, than apply into the LCM equation.

GCF(27230,27240) = 10
LCM(27230,27240) = ( 27230 × 27240) / 10
LCM(27230,27240) = 741745200 / 10
LCM(27230,27240) = 74174520

Least Common Multiple (LCM) of 27230 and 27240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27230 and 27240. First we will calculate the prime factors of 27230 and 27240.

Prime Factorization of 27230

Prime Factorization of 27240

Now multiplying the highest exponent prime factors to calculate the LCM of 27230 and 27240.

LCM(27230,27240) = 2³ × 5¹ × 7¹ × 389¹ × 3¹ × 227¹
LCM(27230,27240) = 74174520