What is the Least Common Multiple of 26512 and 26530?

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 26512 and 26530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26512 and 26530, than apply into the LCM equation.

GCF(26512,26530) = 2
LCM(26512,26530) = ( 26512 × 26530) / 2
LCM(26512,26530) = 703363360 / 2
LCM(26512,26530) = 351681680

Least Common Multiple (LCM) of 26512 and 26530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26512 and 26530. First we will calculate the prime factors of 26512 and 26530.

Prime Factorization of 26512

Prime Factorization of 26530

Now multiplying the highest exponent prime factors to calculate the LCM of 26512 and 26530.

LCM(26512,26530) = 2⁴ × 1657¹ × 5¹ × 7¹ × 379¹
LCM(26512,26530) = 351681680