What is the Least Common Multiple of 85985 and 85995?

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 85985 and 85995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85985 and 85995, than apply into the LCM equation.

GCF(85985,85995) = 5
LCM(85985,85995) = ( 85985 × 85995) / 5
LCM(85985,85995) = 7394280075 / 5
LCM(85985,85995) = 1478856015

Least Common Multiple (LCM) of 85985 and 85995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85985 and 85995. First we will calculate the prime factors of 85985 and 85995.

Prime Factorization of 85985

Prime Factorization of 85995

Now multiplying the highest exponent prime factors to calculate the LCM of 85985 and 85995.

LCM(85985,85995) = 5¹ × 29¹ × 593¹ × 3³ × 7² × 13¹
LCM(85985,85995) = 1478856015