What is the Least Common Multiple of 95808 and 95813?

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 95813 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 95813, than apply into the LCM equation.

GCF(95808,95813) = 1
LCM(95808,95813) = ( 95808 × 95813) / 1
LCM(95808,95813) = 9179651904 / 1
LCM(95808,95813) = 9179651904

Least Common Multiple (LCM) of 95808 and 95813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95808 and 95813. First we will calculate the prime factors of 95808 and 95813.

Prime Factorization of 95808

Prime Factorization of 95813

Now multiplying the highest exponent prime factors to calculate the LCM of 95808 and 95813.

LCM(95808,95813) = 2⁶ × 3¹ × 499¹ × 95813¹
LCM(95808,95813) = 9179651904