What is the Least Common Multiple of 26456 and 26470?

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 26456 and 26470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26456 and 26470, than apply into the LCM equation.

GCF(26456,26470) = 2
LCM(26456,26470) = ( 26456 × 26470) / 2
LCM(26456,26470) = 700290320 / 2
LCM(26456,26470) = 350145160

Least Common Multiple (LCM) of 26456 and 26470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26456 and 26470. First we will calculate the prime factors of 26456 and 26470.

Prime Factorization of 26456

Prime Factorization of 26470

Now multiplying the highest exponent prime factors to calculate the LCM of 26456 and 26470.

LCM(26456,26470) = 2³ × 3307¹ × 5¹ × 2647¹
LCM(26456,26470) = 350145160