What is the Least Common Multiple of 95810 and 95828?

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 95810 and 95828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95810 and 95828, than apply into the LCM equation.

GCF(95810,95828) = 2
LCM(95810,95828) = ( 95810 × 95828) / 2
LCM(95810,95828) = 9181280680 / 2
LCM(95810,95828) = 4590640340

Least Common Multiple (LCM) of 95810 and 95828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95810 and 95828. First we will calculate the prime factors of 95810 and 95828.

Prime Factorization of 95810

Prime Factorization of 95828

Now multiplying the highest exponent prime factors to calculate the LCM of 95810 and 95828.

LCM(95810,95828) = 2² × 5¹ × 11¹ × 13¹ × 67¹ × 23957¹
LCM(95810,95828) = 4590640340