What is the Least Common Multiple of 47138 and 47147?

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 47138 and 47147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47138 and 47147, than apply into the LCM equation.

GCF(47138,47147) = 1
LCM(47138,47147) = ( 47138 × 47147) / 1
LCM(47138,47147) = 2222415286 / 1
LCM(47138,47147) = 2222415286

Least Common Multiple (LCM) of 47138 and 47147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47138 and 47147. First we will calculate the prime factors of 47138 and 47147.

Prime Factorization of 47138

Prime Factorization of 47147

Now multiplying the highest exponent prime factors to calculate the LCM of 47138 and 47147.

LCM(47138,47147) = 2¹ × 7² × 13¹ × 37¹ × 47147¹
LCM(47138,47147) = 2222415286