What is the Least Common Multiple of 26457 and 26465?

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 26457 and 26465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26457 and 26465, than apply into the LCM equation.

GCF(26457,26465) = 1
LCM(26457,26465) = ( 26457 × 26465) / 1
LCM(26457,26465) = 700184505 / 1
LCM(26457,26465) = 700184505

Least Common Multiple (LCM) of 26457 and 26465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26457 and 26465. First we will calculate the prime factors of 26457 and 26465.

Prime Factorization of 26457

Prime Factorization of 26465

Now multiplying the highest exponent prime factors to calculate the LCM of 26457 and 26465.

LCM(26457,26465) = 3¹ × 8819¹ × 5¹ × 67¹ × 79¹
LCM(26457,26465) = 700184505