What is the Least Common Multiple of 26456 and 26461?

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 26461 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 26461, than apply into the LCM equation.

GCF(26456,26461) = 1
LCM(26456,26461) = ( 26456 × 26461) / 1
LCM(26456,26461) = 700052216 / 1
LCM(26456,26461) = 700052216

Least Common Multiple (LCM) of 26456 and 26461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26456 and 26461. First we will calculate the prime factors of 26456 and 26461.

Prime Factorization of 26456

Prime Factorization of 26461

Now multiplying the highest exponent prime factors to calculate the LCM of 26456 and 26461.

LCM(26456,26461) = 2³ × 3307¹ × 47¹ × 563¹
LCM(26456,26461) = 700052216