What is the Least Common Multiple of 32080 and 32085?

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 32080 and 32085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32080 and 32085, than apply into the LCM equation.

GCF(32080,32085) = 5
LCM(32080,32085) = ( 32080 × 32085) / 5
LCM(32080,32085) = 1029286800 / 5
LCM(32080,32085) = 205857360

Least Common Multiple (LCM) of 32080 and 32085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32080 and 32085. First we will calculate the prime factors of 32080 and 32085.

Prime Factorization of 32080

Prime Factorization of 32085

Now multiplying the highest exponent prime factors to calculate the LCM of 32080 and 32085.

LCM(32080,32085) = 2⁴ × 5¹ × 401¹ × 3² × 23¹ × 31¹
LCM(32080,32085) = 205857360