What is the Least Common Multiple of 26169 and 26175?

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 26169 and 26175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26169 and 26175, than apply into the LCM equation.

GCF(26169,26175) = 3
LCM(26169,26175) = ( 26169 × 26175) / 3
LCM(26169,26175) = 684973575 / 3
LCM(26169,26175) = 228324525

Least Common Multiple (LCM) of 26169 and 26175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26169 and 26175. First we will calculate the prime factors of 26169 and 26175.

Prime Factorization of 26169

Prime Factorization of 26175

Now multiplying the highest exponent prime factors to calculate the LCM of 26169 and 26175.

LCM(26169,26175) = 3¹ × 11¹ × 13¹ × 61¹ × 5² × 349¹
LCM(26169,26175) = 228324525