What is the Least Common Multiple of 94135 and 94142?

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 94135 and 94142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94135 and 94142, than apply into the LCM equation.

GCF(94135,94142) = 1
LCM(94135,94142) = ( 94135 × 94142) / 1
LCM(94135,94142) = 8862057170 / 1
LCM(94135,94142) = 8862057170

Least Common Multiple (LCM) of 94135 and 94142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94135 and 94142. First we will calculate the prime factors of 94135 and 94142.

Prime Factorization of 94135

Prime Factorization of 94142

Now multiplying the highest exponent prime factors to calculate the LCM of 94135 and 94142.

LCM(94135,94142) = 5¹ × 67¹ × 281¹ × 2¹ × 103¹ × 457¹
LCM(94135,94142) = 8862057170