What is the Least Common Multiple of 95808 and 95823?

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 95808 and 95823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95808 and 95823, than apply into the LCM equation.

GCF(95808,95823) = 3
LCM(95808,95823) = ( 95808 × 95823) / 3
LCM(95808,95823) = 9180609984 / 3
LCM(95808,95823) = 3060203328

Least Common Multiple (LCM) of 95808 and 95823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95808 and 95823. First we will calculate the prime factors of 95808 and 95823.

Prime Factorization of 95808

Prime Factorization of 95823

Now multiplying the highest exponent prime factors to calculate the LCM of 95808 and 95823.

LCM(95808,95823) = 2⁶ × 3⁴ × 499¹ × 7¹ × 13²
LCM(95808,95823) = 3060203328