What is the Least Common Multiple of 84993 and 85009?

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 84993 and 85009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84993 and 85009, than apply into the LCM equation.

GCF(84993,85009) = 1
LCM(84993,85009) = ( 84993 × 85009) / 1
LCM(84993,85009) = 7225169937 / 1
LCM(84993,85009) = 7225169937

Least Common Multiple (LCM) of 84993 and 85009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84993 and 85009. First we will calculate the prime factors of 84993 and 85009.

Prime Factorization of 84993

Prime Factorization of 85009

Now multiplying the highest exponent prime factors to calculate the LCM of 84993 and 85009.

LCM(84993,85009) = 3¹ × 41¹ × 691¹ × 85009¹
LCM(84993,85009) = 7225169937