What is the Least Common Multiple of 6258 and 6274?

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 6258 and 6274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6258 and 6274, than apply into the LCM equation.

GCF(6258,6274) = 2
LCM(6258,6274) = ( 6258 × 6274) / 2
LCM(6258,6274) = 39262692 / 2
LCM(6258,6274) = 19631346

Least Common Multiple (LCM) of 6258 and 6274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6258 and 6274. First we will calculate the prime factors of 6258 and 6274.

Prime Factorization of 6258

Prime Factorization of 6274

Now multiplying the highest exponent prime factors to calculate the LCM of 6258 and 6274.

LCM(6258,6274) = 2¹ × 3¹ × 7¹ × 149¹ × 3137¹
LCM(6258,6274) = 19631346