What is the Least Common Multiple of 99381 and 99387?

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 99381 and 99387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99381 and 99387, than apply into the LCM equation.

GCF(99381,99387) = 3
LCM(99381,99387) = ( 99381 × 99387) / 3
LCM(99381,99387) = 9877179447 / 3
LCM(99381,99387) = 3292393149

Least Common Multiple (LCM) of 99381 and 99387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99381 and 99387. First we will calculate the prime factors of 99381 and 99387.

Prime Factorization of 99381

Prime Factorization of 99387

Now multiplying the highest exponent prime factors to calculate the LCM of 99381 and 99387.

LCM(99381,99387) = 3⁵ × 157¹ × 211¹ × 409¹
LCM(99381,99387) = 3292393149