What is the Least Common Multiple of 26476 and 26488?

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 26476 and 26488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26476 and 26488, than apply into the LCM equation.

GCF(26476,26488) = 4
LCM(26476,26488) = ( 26476 × 26488) / 4
LCM(26476,26488) = 701296288 / 4
LCM(26476,26488) = 175324072

Least Common Multiple (LCM) of 26476 and 26488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26476 and 26488. First we will calculate the prime factors of 26476 and 26488.

Prime Factorization of 26476

Prime Factorization of 26488

Now multiplying the highest exponent prime factors to calculate the LCM of 26476 and 26488.

LCM(26476,26488) = 2³ × 6619¹ × 7¹ × 11¹ × 43¹
LCM(26476,26488) = 175324072