What is the Least Common Multiple of 85995 and 86003?

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 85995 and 86003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85995 and 86003, than apply into the LCM equation.

GCF(85995,86003) = 1
LCM(85995,86003) = ( 85995 × 86003) / 1
LCM(85995,86003) = 7395827985 / 1
LCM(85995,86003) = 7395827985

Least Common Multiple (LCM) of 85995 and 86003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85995 and 86003. First we will calculate the prime factors of 85995 and 86003.

Prime Factorization of 85995

Prime Factorization of 86003

Now multiplying the highest exponent prime factors to calculate the LCM of 85995 and 86003.

LCM(85995,86003) = 3³ × 5¹ × 7² × 13¹ × 17¹ × 5059¹
LCM(85995,86003) = 7395827985