What is the Least Common Multiple of 95130 and 95142?

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 95130 and 95142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95130 and 95142, than apply into the LCM equation.

GCF(95130,95142) = 6
LCM(95130,95142) = ( 95130 × 95142) / 6
LCM(95130,95142) = 9050858460 / 6
LCM(95130,95142) = 1508476410

Least Common Multiple (LCM) of 95130 and 95142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95130 and 95142. First we will calculate the prime factors of 95130 and 95142.

Prime Factorization of 95130

Prime Factorization of 95142

Now multiplying the highest exponent prime factors to calculate the LCM of 95130 and 95142.

LCM(95130,95142) = 2¹ × 3² × 5¹ × 7¹ × 151¹ × 101¹ × 157¹
LCM(95130,95142) = 1508476410