What is the Least Common Multiple of 35280 and 35289?

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 35280 and 35289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35280 and 35289, than apply into the LCM equation.

GCF(35280,35289) = 9
LCM(35280,35289) = ( 35280 × 35289) / 9
LCM(35280,35289) = 1244995920 / 9
LCM(35280,35289) = 138332880

Least Common Multiple (LCM) of 35280 and 35289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35280 and 35289. First we will calculate the prime factors of 35280 and 35289.

Prime Factorization of 35280

Prime Factorization of 35289

Now multiplying the highest exponent prime factors to calculate the LCM of 35280 and 35289.

LCM(35280,35289) = 2⁴ × 3³ × 5¹ × 7² × 1307¹
LCM(35280,35289) = 138332880