What is the Least Common Multiple of 26180 and 26200?

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 26180 and 26200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26180 and 26200, than apply into the LCM equation.

GCF(26180,26200) = 20
LCM(26180,26200) = ( 26180 × 26200) / 20
LCM(26180,26200) = 685916000 / 20
LCM(26180,26200) = 34295800

Least Common Multiple (LCM) of 26180 and 26200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26180 and 26200. First we will calculate the prime factors of 26180 and 26200.

Prime Factorization of 26180

Prime Factorization of 26200

Now multiplying the highest exponent prime factors to calculate the LCM of 26180 and 26200.

LCM(26180,26200) = 2³ × 5² × 7¹ × 11¹ × 17¹ × 131¹
LCM(26180,26200) = 34295800