What is the Least Common Multiple of 26605 and 26625?

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 26605 and 26625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26605 and 26625, than apply into the LCM equation.

GCF(26605,26625) = 5
LCM(26605,26625) = ( 26605 × 26625) / 5
LCM(26605,26625) = 708358125 / 5
LCM(26605,26625) = 141671625

Least Common Multiple (LCM) of 26605 and 26625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26605 and 26625. First we will calculate the prime factors of 26605 and 26625.

Prime Factorization of 26605

Prime Factorization of 26625

Now multiplying the highest exponent prime factors to calculate the LCM of 26605 and 26625.

LCM(26605,26625) = 5³ × 17¹ × 313¹ × 3¹ × 71¹
LCM(26605,26625) = 141671625