What is the Least Common Multiple of 26128 and 26140?

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 26128 and 26140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26128 and 26140, than apply into the LCM equation.

GCF(26128,26140) = 4
LCM(26128,26140) = ( 26128 × 26140) / 4
LCM(26128,26140) = 682985920 / 4
LCM(26128,26140) = 170746480

Least Common Multiple (LCM) of 26128 and 26140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26128 and 26140. First we will calculate the prime factors of 26128 and 26140.

Prime Factorization of 26128

Prime Factorization of 26140

Now multiplying the highest exponent prime factors to calculate the LCM of 26128 and 26140.

LCM(26128,26140) = 2⁴ × 23¹ × 71¹ × 5¹ × 1307¹
LCM(26128,26140) = 170746480