What is the Least Common Multiple of 83130 and 83142?

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 83130 and 83142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83130 and 83142, than apply into the LCM equation.

GCF(83130,83142) = 6
LCM(83130,83142) = ( 83130 × 83142) / 6
LCM(83130,83142) = 6911594460 / 6
LCM(83130,83142) = 1151932410

Least Common Multiple (LCM) of 83130 and 83142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83130 and 83142. First we will calculate the prime factors of 83130 and 83142.

Prime Factorization of 83130

Prime Factorization of 83142

Now multiplying the highest exponent prime factors to calculate the LCM of 83130 and 83142.

LCM(83130,83142) = 2¹ × 3² × 5¹ × 17¹ × 163¹ × 31¹ × 149¹
LCM(83130,83142) = 1151932410