What is the Least Common Multiple of 19340 and 19360?

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 19340 and 19360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19340 and 19360, than apply into the LCM equation.

GCF(19340,19360) = 20
LCM(19340,19360) = ( 19340 × 19360) / 20
LCM(19340,19360) = 374422400 / 20
LCM(19340,19360) = 18721120

Least Common Multiple (LCM) of 19340 and 19360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19340 and 19360. First we will calculate the prime factors of 19340 and 19360.

Prime Factorization of 19340

Prime Factorization of 19360

Now multiplying the highest exponent prime factors to calculate the LCM of 19340 and 19360.

LCM(19340,19360) = 2⁵ × 5¹ × 967¹ × 11²
LCM(19340,19360) = 18721120