What is the Least Common Multiple of 26360 and 26378?

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 26378 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 26378, than apply into the LCM equation.

GCF(26360,26378) = 2
LCM(26360,26378) = ( 26360 × 26378) / 2
LCM(26360,26378) = 695324080 / 2
LCM(26360,26378) = 347662040

Least Common Multiple (LCM) of 26360 and 26378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26360 and 26378. First we will calculate the prime factors of 26360 and 26378.

Prime Factorization of 26360

Prime Factorization of 26378

Now multiplying the highest exponent prime factors to calculate the LCM of 26360 and 26378.

LCM(26360,26378) = 2³ × 5¹ × 659¹ × 11² × 109¹
LCM(26360,26378) = 347662040