What is the Least Common Multiple of 26253 and 26263?

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 26253 and 26263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26253 and 26263, than apply into the LCM equation.

GCF(26253,26263) = 1
LCM(26253,26263) = ( 26253 × 26263) / 1
LCM(26253,26263) = 689482539 / 1
LCM(26253,26263) = 689482539

Least Common Multiple (LCM) of 26253 and 26263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26253 and 26263. First we will calculate the prime factors of 26253 and 26263.

Prime Factorization of 26253

Prime Factorization of 26263

Now multiplying the highest exponent prime factors to calculate the LCM of 26253 and 26263.

LCM(26253,26263) = 3² × 2917¹ × 26263¹
LCM(26253,26263) = 689482539