What is the Least Common Multiple of 6274 and 6288?

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 6274 and 6288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6274 and 6288, than apply into the LCM equation.

GCF(6274,6288) = 2
LCM(6274,6288) = ( 6274 × 6288) / 2
LCM(6274,6288) = 39450912 / 2
LCM(6274,6288) = 19725456

Least Common Multiple (LCM) of 6274 and 6288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6274 and 6288. First we will calculate the prime factors of 6274 and 6288.

Prime Factorization of 6274

Prime Factorization of 6288

Now multiplying the highest exponent prime factors to calculate the LCM of 6274 and 6288.

LCM(6274,6288) = 2⁴ × 3137¹ × 3¹ × 131¹
LCM(6274,6288) = 19725456