What is the Least Common Multiple of 20780 and 20795?

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 20780 and 20795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20780 and 20795, than apply into the LCM equation.

GCF(20780,20795) = 5
LCM(20780,20795) = ( 20780 × 20795) / 5
LCM(20780,20795) = 432120100 / 5
LCM(20780,20795) = 86424020

Least Common Multiple (LCM) of 20780 and 20795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20780 and 20795. First we will calculate the prime factors of 20780 and 20795.

Prime Factorization of 20780

Prime Factorization of 20795

Now multiplying the highest exponent prime factors to calculate the LCM of 20780 and 20795.

LCM(20780,20795) = 2² × 5¹ × 1039¹ × 4159¹
LCM(20780,20795) = 86424020