What is the Least Common Multiple of 85905 and 85909?

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 85905 and 85909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85905 and 85909, than apply into the LCM equation.

GCF(85905,85909) = 1
LCM(85905,85909) = ( 85905 × 85909) / 1
LCM(85905,85909) = 7380012645 / 1
LCM(85905,85909) = 7380012645

Least Common Multiple (LCM) of 85905 and 85909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85905 and 85909. First we will calculate the prime factors of 85905 and 85909.

Prime Factorization of 85905

Prime Factorization of 85909

Now multiplying the highest exponent prime factors to calculate the LCM of 85905 and 85909.

LCM(85905,85909) = 3² × 5¹ × 23¹ × 83¹ × 85909¹
LCM(85905,85909) = 7380012645