What is the Least Common Multiple of 26345 and 26360?

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 26345 and 26360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26345 and 26360, than apply into the LCM equation.

GCF(26345,26360) = 5
LCM(26345,26360) = ( 26345 × 26360) / 5
LCM(26345,26360) = 694454200 / 5
LCM(26345,26360) = 138890840

Least Common Multiple (LCM) of 26345 and 26360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26345 and 26360. First we will calculate the prime factors of 26345 and 26360.

Prime Factorization of 26345

Prime Factorization of 26360

Now multiplying the highest exponent prime factors to calculate the LCM of 26345 and 26360.

LCM(26345,26360) = 5¹ × 11¹ × 479¹ × 2³ × 659¹
LCM(26345,26360) = 138890840