What is the Least Common Multiple of 26178 and 26195?

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 26178 and 26195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26178 and 26195, than apply into the LCM equation.

GCF(26178,26195) = 1
LCM(26178,26195) = ( 26178 × 26195) / 1
LCM(26178,26195) = 685732710 / 1
LCM(26178,26195) = 685732710

Least Common Multiple (LCM) of 26178 and 26195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26178 and 26195. First we will calculate the prime factors of 26178 and 26195.

Prime Factorization of 26178

Prime Factorization of 26195

Now multiplying the highest exponent prime factors to calculate the LCM of 26178 and 26195.

LCM(26178,26195) = 2¹ × 3¹ × 4363¹ × 5¹ × 13² × 31¹
LCM(26178,26195) = 685732710