What is the Least Common Multiple of 26360 and 26371?

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 26360 and 26371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26360 and 26371, than apply into the LCM equation.

GCF(26360,26371) = 1
LCM(26360,26371) = ( 26360 × 26371) / 1
LCM(26360,26371) = 695139560 / 1
LCM(26360,26371) = 695139560

Least Common Multiple (LCM) of 26360 and 26371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26360 and 26371. First we will calculate the prime factors of 26360 and 26371.

Prime Factorization of 26360

Prime Factorization of 26371

Now multiplying the highest exponent prime factors to calculate the LCM of 26360 and 26371.

LCM(26360,26371) = 2³ × 5¹ × 659¹ × 26371¹
LCM(26360,26371) = 695139560