What is the Least Common Multiple of 29080 and 29085?

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 29080 and 29085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29080 and 29085, than apply into the LCM equation.

GCF(29080,29085) = 5
LCM(29080,29085) = ( 29080 × 29085) / 5
LCM(29080,29085) = 845791800 / 5
LCM(29080,29085) = 169158360

Least Common Multiple (LCM) of 29080 and 29085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29080 and 29085. First we will calculate the prime factors of 29080 and 29085.

Prime Factorization of 29080

Prime Factorization of 29085

Now multiplying the highest exponent prime factors to calculate the LCM of 29080 and 29085.

LCM(29080,29085) = 2³ × 5¹ × 727¹ × 3¹ × 7¹ × 277¹
LCM(29080,29085) = 169158360