What is the Least Common Multiple of 95120 and 95138?

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 95120 and 95138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95120 and 95138, than apply into the LCM equation.

GCF(95120,95138) = 2
LCM(95120,95138) = ( 95120 × 95138) / 2
LCM(95120,95138) = 9049526560 / 2
LCM(95120,95138) = 4524763280

Least Common Multiple (LCM) of 95120 and 95138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95120 and 95138. First we will calculate the prime factors of 95120 and 95138.

Prime Factorization of 95120

Prime Factorization of 95138

Now multiplying the highest exponent prime factors to calculate the LCM of 95120 and 95138.

LCM(95120,95138) = 2⁴ × 5¹ × 29¹ × 41¹ × 47569¹
LCM(95120,95138) = 4524763280