What is the Least Common Multiple of 26190 and 26198?

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 26190 and 26198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26190 and 26198, than apply into the LCM equation.

GCF(26190,26198) = 2
LCM(26190,26198) = ( 26190 × 26198) / 2
LCM(26190,26198) = 686125620 / 2
LCM(26190,26198) = 343062810

Least Common Multiple (LCM) of 26190 and 26198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26190 and 26198. First we will calculate the prime factors of 26190 and 26198.

Prime Factorization of 26190

Prime Factorization of 26198

Now multiplying the highest exponent prime factors to calculate the LCM of 26190 and 26198.

LCM(26190,26198) = 2¹ × 3³ × 5¹ × 97¹ × 13099¹
LCM(26190,26198) = 343062810