What is the Least Common Multiple of 27460 and 27474?

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 27460 and 27474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27460 and 27474, than apply into the LCM equation.

GCF(27460,27474) = 2
LCM(27460,27474) = ( 27460 × 27474) / 2
LCM(27460,27474) = 754436040 / 2
LCM(27460,27474) = 377218020

Least Common Multiple (LCM) of 27460 and 27474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27460 and 27474. First we will calculate the prime factors of 27460 and 27474.

Prime Factorization of 27460

Prime Factorization of 27474

Now multiplying the highest exponent prime factors to calculate the LCM of 27460 and 27474.

LCM(27460,27474) = 2² × 5¹ × 1373¹ × 3¹ × 19¹ × 241¹
LCM(27460,27474) = 377218020