What is the Least Common Multiple of 26238 and 26253?

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 26238 and 26253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26238 and 26253, than apply into the LCM equation.

GCF(26238,26253) = 3
LCM(26238,26253) = ( 26238 × 26253) / 3
LCM(26238,26253) = 688826214 / 3
LCM(26238,26253) = 229608738

Least Common Multiple (LCM) of 26238 and 26253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26238 and 26253. First we will calculate the prime factors of 26238 and 26253.

Prime Factorization of 26238

Prime Factorization of 26253

Now multiplying the highest exponent prime factors to calculate the LCM of 26238 and 26253.

LCM(26238,26253) = 2¹ × 3² × 4373¹ × 2917¹
LCM(26238,26253) = 229608738