What is the Least Common Multiple of 26512 and 26524?

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 26524 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 26524, than apply into the LCM equation.

GCF(26512,26524) = 4
LCM(26512,26524) = ( 26512 × 26524) / 4
LCM(26512,26524) = 703204288 / 4
LCM(26512,26524) = 175801072

Least Common Multiple (LCM) of 26512 and 26524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26512 and 26524. First we will calculate the prime factors of 26512 and 26524.

Prime Factorization of 26512

Prime Factorization of 26524

Now multiplying the highest exponent prime factors to calculate the LCM of 26512 and 26524.

LCM(26512,26524) = 2⁴ × 1657¹ × 19¹ × 349¹
LCM(26512,26524) = 175801072