What is the Least Common Multiple of 17860 and 17879?

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 17860 and 17879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17860 and 17879, than apply into the LCM equation.

GCF(17860,17879) = 19
LCM(17860,17879) = ( 17860 × 17879) / 19
LCM(17860,17879) = 319318940 / 19
LCM(17860,17879) = 16806260

Least Common Multiple (LCM) of 17860 and 17879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17860 and 17879. First we will calculate the prime factors of 17860 and 17879.

Prime Factorization of 17860

Prime Factorization of 17879

Now multiplying the highest exponent prime factors to calculate the LCM of 17860 and 17879.

LCM(17860,17879) = 2² × 5¹ × 19¹ × 47¹ × 941¹
LCM(17860,17879) = 16806260