What is the Least Common Multiple of 6142 and 6152?

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 6142 and 6152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6142 and 6152, than apply into the LCM equation.

GCF(6142,6152) = 2
LCM(6142,6152) = ( 6142 × 6152) / 2
LCM(6142,6152) = 37785584 / 2
LCM(6142,6152) = 18892792

Least Common Multiple (LCM) of 6142 and 6152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6142 and 6152. First we will calculate the prime factors of 6142 and 6152.

Prime Factorization of 6142

Prime Factorization of 6152

Now multiplying the highest exponent prime factors to calculate the LCM of 6142 and 6152.

LCM(6142,6152) = 2³ × 37¹ × 83¹ × 769¹
LCM(6142,6152) = 18892792