What is the Least Common Multiple of 6272 and 6278?

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 6272 and 6278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6272 and 6278, than apply into the LCM equation.

GCF(6272,6278) = 2
LCM(6272,6278) = ( 6272 × 6278) / 2
LCM(6272,6278) = 39375616 / 2
LCM(6272,6278) = 19687808

Least Common Multiple (LCM) of 6272 and 6278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6272 and 6278. First we will calculate the prime factors of 6272 and 6278.

Prime Factorization of 6272

Prime Factorization of 6278

Now multiplying the highest exponent prime factors to calculate the LCM of 6272 and 6278.

LCM(6272,6278) = 2⁷ × 7² × 43¹ × 73¹
LCM(6272,6278) = 19687808