What is the Least Common Multiple of 6274 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 6274 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 6274 and 6278, than apply into the LCM equation.

GCF(6274,6278) = 2
LCM(6274,6278) = ( 6274 × 6278) / 2
LCM(6274,6278) = 39388172 / 2
LCM(6274,6278) = 19694086

Least Common Multiple (LCM) of 6274 and 6278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6274 and 6278. First we will calculate the prime factors of 6274 and 6278.

Prime Factorization of 6274

Prime Factorization of 6278

Now multiplying the highest exponent prime factors to calculate the LCM of 6274 and 6278.

LCM(6274,6278) = 2¹ × 3137¹ × 43¹ × 73¹
LCM(6274,6278) = 19694086