What is the Least Common Multiple of 54270 and 54277?

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 54277 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 54277, than apply into the LCM equation.

GCF(54270,54277) = 1
LCM(54270,54277) = ( 54270 × 54277) / 1
LCM(54270,54277) = 2945612790 / 1
LCM(54270,54277) = 2945612790

Least Common Multiple (LCM) of 54270 and 54277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54270 and 54277. First we will calculate the prime factors of 54270 and 54277.

Prime Factorization of 54270

Prime Factorization of 54277

Now multiplying the highest exponent prime factors to calculate the LCM of 54270 and 54277.

LCM(54270,54277) = 2¹ × 3⁴ × 5¹ × 67¹ × 54277¹
LCM(54270,54277) = 2945612790