What is the Least Common Multiple of 26372 and 26392?

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 26372 and 26392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26372 and 26392, than apply into the LCM equation.

GCF(26372,26392) = 4
LCM(26372,26392) = ( 26372 × 26392) / 4
LCM(26372,26392) = 696009824 / 4
LCM(26372,26392) = 174002456

Least Common Multiple (LCM) of 26372 and 26392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26372 and 26392. First we will calculate the prime factors of 26372 and 26392.

Prime Factorization of 26372

Prime Factorization of 26392

Now multiplying the highest exponent prime factors to calculate the LCM of 26372 and 26392.

LCM(26372,26392) = 2³ × 19¹ × 347¹ × 3299¹
LCM(26372,26392) = 174002456