What is the Least Common Multiple of 87285 and 87289?

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 87285 and 87289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87285 and 87289, than apply into the LCM equation.

GCF(87285,87289) = 1
LCM(87285,87289) = ( 87285 × 87289) / 1
LCM(87285,87289) = 7619020365 / 1
LCM(87285,87289) = 7619020365

Least Common Multiple (LCM) of 87285 and 87289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87285 and 87289. First we will calculate the prime factors of 87285 and 87289.

Prime Factorization of 87285

Prime Factorization of 87289

Now multiplying the highest exponent prime factors to calculate the LCM of 87285 and 87289.

LCM(87285,87289) = 3¹ × 5¹ × 11¹ × 23² × 41¹ × 2129¹
LCM(87285,87289) = 7619020365