What is the Least Common Multiple of 85909 and 85921?

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 85909 and 85921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85909 and 85921, than apply into the LCM equation.

GCF(85909,85921) = 1
LCM(85909,85921) = ( 85909 × 85921) / 1
LCM(85909,85921) = 7381387189 / 1
LCM(85909,85921) = 7381387189

Least Common Multiple (LCM) of 85909 and 85921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85909 and 85921. First we will calculate the prime factors of 85909 and 85921.

Prime Factorization of 85909

Prime Factorization of 85921

Now multiplying the highest exponent prime factors to calculate the LCM of 85909 and 85921.

LCM(85909,85921) = 85909¹ × 11¹ × 73¹ × 107¹
LCM(85909,85921) = 7381387189