What is the Least Common Multiple of 6237 and 6251?

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 6237 and 6251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6237 and 6251, than apply into the LCM equation.

GCF(6237,6251) = 7
LCM(6237,6251) = ( 6237 × 6251) / 7
LCM(6237,6251) = 38987487 / 7
LCM(6237,6251) = 5569641

Least Common Multiple (LCM) of 6237 and 6251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6237 and 6251. First we will calculate the prime factors of 6237 and 6251.

Prime Factorization of 6237

Prime Factorization of 6251

Now multiplying the highest exponent prime factors to calculate the LCM of 6237 and 6251.

LCM(6237,6251) = 3⁴ × 7¹ × 11¹ × 19¹ × 47¹
LCM(6237,6251) = 5569641