What is the Least Common Multiple of 26192 and 26196?

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 26192 and 26196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26192 and 26196, than apply into the LCM equation.

GCF(26192,26196) = 4
LCM(26192,26196) = ( 26192 × 26196) / 4
LCM(26192,26196) = 686125632 / 4
LCM(26192,26196) = 171531408

Least Common Multiple (LCM) of 26192 and 26196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26192 and 26196. First we will calculate the prime factors of 26192 and 26196.

Prime Factorization of 26192

Prime Factorization of 26196

Now multiplying the highest exponent prime factors to calculate the LCM of 26192 and 26196.

LCM(26192,26196) = 2⁴ × 1637¹ × 3¹ × 37¹ × 59¹
LCM(26192,26196) = 171531408