What is the Least Common Multiple of 26257 and 26265?

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 26257 and 26265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26257 and 26265, than apply into the LCM equation.

GCF(26257,26265) = 1
LCM(26257,26265) = ( 26257 × 26265) / 1
LCM(26257,26265) = 689640105 / 1
LCM(26257,26265) = 689640105

Least Common Multiple (LCM) of 26257 and 26265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26257 and 26265. First we will calculate the prime factors of 26257 and 26265.

Prime Factorization of 26257

Prime Factorization of 26265

Now multiplying the highest exponent prime factors to calculate the LCM of 26257 and 26265.

LCM(26257,26265) = 7¹ × 11² × 31¹ × 3¹ × 5¹ × 17¹ × 103¹
LCM(26257,26265) = 689640105