What is the Least Common Multiple of 18860 and 18871?

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 18860 and 18871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18860 and 18871, than apply into the LCM equation.

GCF(18860,18871) = 1
LCM(18860,18871) = ( 18860 × 18871) / 1
LCM(18860,18871) = 355907060 / 1
LCM(18860,18871) = 355907060

Least Common Multiple (LCM) of 18860 and 18871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18860 and 18871. First we will calculate the prime factors of 18860 and 18871.

Prime Factorization of 18860

Prime Factorization of 18871

Now multiplying the highest exponent prime factors to calculate the LCM of 18860 and 18871.

LCM(18860,18871) = 2² × 5¹ × 23¹ × 41¹ × 113¹ × 167¹
LCM(18860,18871) = 355907060