What is the Least Common Multiple of 93808 and 93819?

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 93819 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 93819, than apply into the LCM equation.

GCF(93808,93819) = 11
LCM(93808,93819) = ( 93808 × 93819) / 11
LCM(93808,93819) = 8800972752 / 11
LCM(93808,93819) = 800088432

Least Common Multiple (LCM) of 93808 and 93819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93808 and 93819. First we will calculate the prime factors of 93808 and 93819.

Prime Factorization of 93808

Prime Factorization of 93819

Now multiplying the highest exponent prime factors to calculate the LCM of 93808 and 93819.

LCM(93808,93819) = 2⁴ × 11¹ × 13¹ × 41¹ × 3¹ × 2843¹
LCM(93808,93819) = 800088432