What is the Least Common Multiple of 95830 and 95840?

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 95830 and 95840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95830 and 95840, than apply into the LCM equation.

GCF(95830,95840) = 10
LCM(95830,95840) = ( 95830 × 95840) / 10
LCM(95830,95840) = 9184347200 / 10
LCM(95830,95840) = 918434720

Least Common Multiple (LCM) of 95830 and 95840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95830 and 95840. First we will calculate the prime factors of 95830 and 95840.

Prime Factorization of 95830

Prime Factorization of 95840

Now multiplying the highest exponent prime factors to calculate the LCM of 95830 and 95840.

LCM(95830,95840) = 2⁵ × 5¹ × 7¹ × 37² × 599¹
LCM(95830,95840) = 918434720