What is the Least Common Multiple of 6273 and 6277?

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 6273 and 6277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6273 and 6277, than apply into the LCM equation.

GCF(6273,6277) = 1
LCM(6273,6277) = ( 6273 × 6277) / 1
LCM(6273,6277) = 39375621 / 1
LCM(6273,6277) = 39375621

Least Common Multiple (LCM) of 6273 and 6277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6273 and 6277. First we will calculate the prime factors of 6273 and 6277.

Prime Factorization of 6273

Prime Factorization of 6277

Now multiplying the highest exponent prime factors to calculate the LCM of 6273 and 6277.

LCM(6273,6277) = 3² × 17¹ × 41¹ × 6277¹
LCM(6273,6277) = 39375621