What is the Least Common Multiple of 20371 and 20380?

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 20371 and 20380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20371 and 20380, than apply into the LCM equation.

GCF(20371,20380) = 1
LCM(20371,20380) = ( 20371 × 20380) / 1
LCM(20371,20380) = 415160980 / 1
LCM(20371,20380) = 415160980

Least Common Multiple (LCM) of 20371 and 20380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20371 and 20380. First we will calculate the prime factors of 20371 and 20380.

Prime Factorization of 20371

Prime Factorization of 20380

Now multiplying the highest exponent prime factors to calculate the LCM of 20371 and 20380.

LCM(20371,20380) = 13¹ × 1567¹ × 2² × 5¹ × 1019¹
LCM(20371,20380) = 415160980