What is the Least Common Multiple of 26900 and 26912?

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 26900 and 26912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26900 and 26912, than apply into the LCM equation.

GCF(26900,26912) = 4
LCM(26900,26912) = ( 26900 × 26912) / 4
LCM(26900,26912) = 723932800 / 4
LCM(26900,26912) = 180983200

Least Common Multiple (LCM) of 26900 and 26912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26900 and 26912. First we will calculate the prime factors of 26900 and 26912.

Prime Factorization of 26900

Prime Factorization of 26912

Now multiplying the highest exponent prime factors to calculate the LCM of 26900 and 26912.

LCM(26900,26912) = 2⁵ × 5² × 269¹ × 29²
LCM(26900,26912) = 180983200