What is the Least Common Multiple of 27420 and 27440?

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 27420 and 27440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27420 and 27440, than apply into the LCM equation.

GCF(27420,27440) = 20
LCM(27420,27440) = ( 27420 × 27440) / 20
LCM(27420,27440) = 752404800 / 20
LCM(27420,27440) = 37620240

Least Common Multiple (LCM) of 27420 and 27440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27420 and 27440. First we will calculate the prime factors of 27420 and 27440.

Prime Factorization of 27420

Prime Factorization of 27440

Now multiplying the highest exponent prime factors to calculate the LCM of 27420 and 27440.

LCM(27420,27440) = 2⁴ × 3¹ × 5¹ × 457¹ × 7³
LCM(27420,27440) = 37620240