What is the Least Common Multiple of 95840 and 95852?

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 95852 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 95852, than apply into the LCM equation.

GCF(95840,95852) = 4
LCM(95840,95852) = ( 95840 × 95852) / 4
LCM(95840,95852) = 9186455680 / 4
LCM(95840,95852) = 2296613920

Least Common Multiple (LCM) of 95840 and 95852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95840 and 95852. First we will calculate the prime factors of 95840 and 95852.

Prime Factorization of 95840

Prime Factorization of 95852

Now multiplying the highest exponent prime factors to calculate the LCM of 95840 and 95852.

LCM(95840,95852) = 2⁵ × 5¹ × 599¹ × 31¹ × 773¹
LCM(95840,95852) = 2296613920