What is the Least Common Multiple of 26780 and 26795?

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 26780 and 26795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26780 and 26795, than apply into the LCM equation.

GCF(26780,26795) = 5
LCM(26780,26795) = ( 26780 × 26795) / 5
LCM(26780,26795) = 717570100 / 5
LCM(26780,26795) = 143514020

Least Common Multiple (LCM) of 26780 and 26795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26780 and 26795. First we will calculate the prime factors of 26780 and 26795.

Prime Factorization of 26780

Prime Factorization of 26795

Now multiplying the highest exponent prime factors to calculate the LCM of 26780 and 26795.

LCM(26780,26795) = 2² × 5¹ × 13¹ × 103¹ × 23¹ × 233¹
LCM(26780,26795) = 143514020