What is the Least Common Multiple of 95793 and 95808?

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 95793 and 95808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95793 and 95808, than apply into the LCM equation.

GCF(95793,95808) = 3
LCM(95793,95808) = ( 95793 × 95808) / 3
LCM(95793,95808) = 9177735744 / 3
LCM(95793,95808) = 3059245248

Least Common Multiple (LCM) of 95793 and 95808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95793 and 95808. First we will calculate the prime factors of 95793 and 95808.

Prime Factorization of 95793

Prime Factorization of 95808

Now multiplying the highest exponent prime factors to calculate the LCM of 95793 and 95808.

LCM(95793,95808) = 3¹ × 37¹ × 863¹ × 2⁶ × 499¹
LCM(95793,95808) = 3059245248