What is the Least Common Multiple of 26194 and 26208?

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 26194 and 26208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26194 and 26208, than apply into the LCM equation.

GCF(26194,26208) = 14
LCM(26194,26208) = ( 26194 × 26208) / 14
LCM(26194,26208) = 686492352 / 14
LCM(26194,26208) = 49035168

Least Common Multiple (LCM) of 26194 and 26208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26194 and 26208. First we will calculate the prime factors of 26194 and 26208.

Prime Factorization of 26194

Prime Factorization of 26208

Now multiplying the highest exponent prime factors to calculate the LCM of 26194 and 26208.

LCM(26194,26208) = 2⁵ × 7¹ × 1871¹ × 3² × 13¹
LCM(26194,26208) = 49035168