What is the Least Common Multiple of 26912 and 26932?

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 26912 and 26932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26912 and 26932, than apply into the LCM equation.

GCF(26912,26932) = 4
LCM(26912,26932) = ( 26912 × 26932) / 4
LCM(26912,26932) = 724793984 / 4
LCM(26912,26932) = 181198496

Least Common Multiple (LCM) of 26912 and 26932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26912 and 26932. First we will calculate the prime factors of 26912 and 26932.

Prime Factorization of 26912

Prime Factorization of 26932

Now multiplying the highest exponent prime factors to calculate the LCM of 26912 and 26932.

LCM(26912,26932) = 2⁵ × 29² × 6733¹
LCM(26912,26932) = 181198496