What is the Least Common Multiple of 85900 and 85910?

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 85900 and 85910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85900 and 85910, than apply into the LCM equation.

GCF(85900,85910) = 10
LCM(85900,85910) = ( 85900 × 85910) / 10
LCM(85900,85910) = 7379669000 / 10
LCM(85900,85910) = 737966900

Least Common Multiple (LCM) of 85900 and 85910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85900 and 85910. First we will calculate the prime factors of 85900 and 85910.

Prime Factorization of 85900

Prime Factorization of 85910

Now multiplying the highest exponent prime factors to calculate the LCM of 85900 and 85910.

LCM(85900,85910) = 2² × 5² × 859¹ × 11² × 71¹
LCM(85900,85910) = 737966900