What is the Least Common Multiple of 95814 and 95820?

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 95814 and 95820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95814 and 95820, than apply into the LCM equation.

GCF(95814,95820) = 6
LCM(95814,95820) = ( 95814 × 95820) / 6
LCM(95814,95820) = 9180897480 / 6
LCM(95814,95820) = 1530149580

Least Common Multiple (LCM) of 95814 and 95820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95814 and 95820. First we will calculate the prime factors of 95814 and 95820.

Prime Factorization of 95814

Prime Factorization of 95820

Now multiplying the highest exponent prime factors to calculate the LCM of 95814 and 95820.

LCM(95814,95820) = 2² × 3² × 5323¹ × 5¹ × 1597¹
LCM(95814,95820) = 1530149580