What is the Least Common Multiple of 7142 and 7147?

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 7142 and 7147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7142 and 7147, than apply into the LCM equation.

GCF(7142,7147) = 1
LCM(7142,7147) = ( 7142 × 7147) / 1
LCM(7142,7147) = 51043874 / 1
LCM(7142,7147) = 51043874

Least Common Multiple (LCM) of 7142 and 7147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7142 and 7147. First we will calculate the prime factors of 7142 and 7147.

Prime Factorization of 7142

Prime Factorization of 7147

Now multiplying the highest exponent prime factors to calculate the LCM of 7142 and 7147.

LCM(7142,7147) = 2¹ × 3571¹ × 7¹ × 1021¹
LCM(7142,7147) = 51043874