What is the Least Common Multiple of 26174 and 26180?

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 26174 and 26180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26174 and 26180, than apply into the LCM equation.

GCF(26174,26180) = 2
LCM(26174,26180) = ( 26174 × 26180) / 2
LCM(26174,26180) = 685235320 / 2
LCM(26174,26180) = 342617660

Least Common Multiple (LCM) of 26174 and 26180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26174 and 26180. First we will calculate the prime factors of 26174 and 26180.

Prime Factorization of 26174

Prime Factorization of 26180

Now multiplying the highest exponent prime factors to calculate the LCM of 26174 and 26180.

LCM(26174,26180) = 2² × 23¹ × 569¹ × 5¹ × 7¹ × 11¹ × 17¹
LCM(26174,26180) = 342617660