What is the Least Common Multiple of 27456 and 27470?

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 27456 and 27470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27456 and 27470, than apply into the LCM equation.

GCF(27456,27470) = 2
LCM(27456,27470) = ( 27456 × 27470) / 2
LCM(27456,27470) = 754216320 / 2
LCM(27456,27470) = 377108160

Least Common Multiple (LCM) of 27456 and 27470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27456 and 27470. First we will calculate the prime factors of 27456 and 27470.

Prime Factorization of 27456

Prime Factorization of 27470

Now multiplying the highest exponent prime factors to calculate the LCM of 27456 and 27470.

LCM(27456,27470) = 2⁶ × 3¹ × 11¹ × 13¹ × 5¹ × 41¹ × 67¹
LCM(27456,27470) = 377108160