What is the Least Common Multiple of 18462 and 18479?

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 18462 and 18479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18462 and 18479, than apply into the LCM equation.

GCF(18462,18479) = 17
LCM(18462,18479) = ( 18462 × 18479) / 17
LCM(18462,18479) = 341159298 / 17
LCM(18462,18479) = 20068194

Least Common Multiple (LCM) of 18462 and 18479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18462 and 18479. First we will calculate the prime factors of 18462 and 18479.

Prime Factorization of 18462

Prime Factorization of 18479

Now multiplying the highest exponent prime factors to calculate the LCM of 18462 and 18479.

LCM(18462,18479) = 2¹ × 3¹ × 17¹ × 181¹ × 1087¹
LCM(18462,18479) = 20068194