What is the Least Common Multiple of 54270 and 54287?

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 54270 and 54287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54270 and 54287, than apply into the LCM equation.

GCF(54270,54287) = 1
LCM(54270,54287) = ( 54270 × 54287) / 1
LCM(54270,54287) = 2946155490 / 1
LCM(54270,54287) = 2946155490

Least Common Multiple (LCM) of 54270 and 54287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54270 and 54287. First we will calculate the prime factors of 54270 and 54287.

Prime Factorization of 54270

Prime Factorization of 54287

Now multiplying the highest exponent prime factors to calculate the LCM of 54270 and 54287.

LCM(54270,54287) = 2¹ × 3⁴ × 5¹ × 67¹ × 54287¹
LCM(54270,54287) = 2946155490