What is the Least Common Multiple of 95840 and 95850?

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 95840 and 95850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95840 and 95850, than apply into the LCM equation.

GCF(95840,95850) = 10
LCM(95840,95850) = ( 95840 × 95850) / 10
LCM(95840,95850) = 9186264000 / 10
LCM(95840,95850) = 918626400

Least Common Multiple (LCM) of 95840 and 95850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95840 and 95850. First we will calculate the prime factors of 95840 and 95850.

Prime Factorization of 95840

Prime Factorization of 95850

Now multiplying the highest exponent prime factors to calculate the LCM of 95840 and 95850.

LCM(95840,95850) = 2⁵ × 5² × 599¹ × 3³ × 71¹
LCM(95840,95850) = 918626400