What is the Least Common Multiple of 85998 and 86009?

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 85998 and 86009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85998 and 86009, than apply into the LCM equation.

GCF(85998,86009) = 11
LCM(85998,86009) = ( 85998 × 86009) / 11
LCM(85998,86009) = 7396601982 / 11
LCM(85998,86009) = 672418362

Least Common Multiple (LCM) of 85998 and 86009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85998 and 86009. First we will calculate the prime factors of 85998 and 86009.

Prime Factorization of 85998

Prime Factorization of 86009

Now multiplying the highest exponent prime factors to calculate the LCM of 85998 and 86009.

LCM(85998,86009) = 2¹ × 3¹ × 11¹ × 1303¹ × 7¹ × 1117¹
LCM(85998,86009) = 672418362