What is the Least Common Multiple of 27447 and 27456?

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 27447 and 27456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27447 and 27456, than apply into the LCM equation.

GCF(27447,27456) = 3
LCM(27447,27456) = ( 27447 × 27456) / 3
LCM(27447,27456) = 753584832 / 3
LCM(27447,27456) = 251194944

Least Common Multiple (LCM) of 27447 and 27456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27447 and 27456. First we will calculate the prime factors of 27447 and 27456.

Prime Factorization of 27447

Prime Factorization of 27456

Now multiplying the highest exponent prime factors to calculate the LCM of 27447 and 27456.

LCM(27447,27456) = 3¹ × 7¹ × 1307¹ × 2⁶ × 11¹ × 13¹
LCM(27447,27456) = 251194944