What is the Least Common Multiple of 85199 and 85203?

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 85199 and 85203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85199 and 85203, than apply into the LCM equation.

GCF(85199,85203) = 1
LCM(85199,85203) = ( 85199 × 85203) / 1
LCM(85199,85203) = 7259210397 / 1
LCM(85199,85203) = 7259210397

Least Common Multiple (LCM) of 85199 and 85203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85199 and 85203. First we will calculate the prime factors of 85199 and 85203.

Prime Factorization of 85199

Prime Factorization of 85203

Now multiplying the highest exponent prime factors to calculate the LCM of 85199 and 85203.

LCM(85199,85203) = 85199¹ × 3² × 9467¹
LCM(85199,85203) = 7259210397