What is the Least Common Multiple of 95838 and 95854?

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 95838 and 95854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95838 and 95854, than apply into the LCM equation.

GCF(95838,95854) = 2
LCM(95838,95854) = ( 95838 × 95854) / 2
LCM(95838,95854) = 9186455652 / 2
LCM(95838,95854) = 4593227826

Least Common Multiple (LCM) of 95838 and 95854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95838 and 95854. First we will calculate the prime factors of 95838 and 95854.

Prime Factorization of 95838

Prime Factorization of 95854

Now multiplying the highest exponent prime factors to calculate the LCM of 95838 and 95854.

LCM(95838,95854) = 2¹ × 3¹ × 15973¹ × 11¹ × 4357¹
LCM(95838,95854) = 4593227826