What is the Least Common Multiple of 26075 and 26080?

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 26075 and 26080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26075 and 26080, than apply into the LCM equation.

GCF(26075,26080) = 5
LCM(26075,26080) = ( 26075 × 26080) / 5
LCM(26075,26080) = 680036000 / 5
LCM(26075,26080) = 136007200

Least Common Multiple (LCM) of 26075 and 26080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26075 and 26080. First we will calculate the prime factors of 26075 and 26080.

Prime Factorization of 26075

Prime Factorization of 26080

Now multiplying the highest exponent prime factors to calculate the LCM of 26075 and 26080.

LCM(26075,26080) = 5² × 7¹ × 149¹ × 2⁵ × 163¹
LCM(26075,26080) = 136007200