What is the Least Common Multiple of 20360 and 20378?

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 20360 and 20378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20360 and 20378, than apply into the LCM equation.

GCF(20360,20378) = 2
LCM(20360,20378) = ( 20360 × 20378) / 2
LCM(20360,20378) = 414896080 / 2
LCM(20360,20378) = 207448040

Least Common Multiple (LCM) of 20360 and 20378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20360 and 20378. First we will calculate the prime factors of 20360 and 20378.

Prime Factorization of 20360

Prime Factorization of 20378

Now multiplying the highest exponent prime factors to calculate the LCM of 20360 and 20378.

LCM(20360,20378) = 2³ × 5¹ × 509¹ × 23¹ × 443¹
LCM(20360,20378) = 207448040