What is the Least Common Multiple of 93808 and 93818?

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 93808 and 93818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93808 and 93818, than apply into the LCM equation.

GCF(93808,93818) = 2
LCM(93808,93818) = ( 93808 × 93818) / 2
LCM(93808,93818) = 8800878944 / 2
LCM(93808,93818) = 4400439472

Least Common Multiple (LCM) of 93808 and 93818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93808 and 93818. First we will calculate the prime factors of 93808 and 93818.

Prime Factorization of 93808

Prime Factorization of 93818

Now multiplying the highest exponent prime factors to calculate the LCM of 93808 and 93818.

LCM(93808,93818) = 2⁴ × 11¹ × 13¹ × 41¹ × 61¹ × 769¹
LCM(93808,93818) = 4400439472