What is the Least Common Multiple of 6132 and 6142?

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 6132 and 6142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6132 and 6142, than apply into the LCM equation.

GCF(6132,6142) = 2
LCM(6132,6142) = ( 6132 × 6142) / 2
LCM(6132,6142) = 37662744 / 2
LCM(6132,6142) = 18831372

Least Common Multiple (LCM) of 6132 and 6142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6132 and 6142. First we will calculate the prime factors of 6132 and 6142.

Prime Factorization of 6132

Prime Factorization of 6142

Now multiplying the highest exponent prime factors to calculate the LCM of 6132 and 6142.

LCM(6132,6142) = 2² × 3¹ × 7¹ × 73¹ × 37¹ × 83¹
LCM(6132,6142) = 18831372