What is the Least Common Multiple of 86590 and 86601?

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 86590 and 86601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86590 and 86601, than apply into the LCM equation.

GCF(86590,86601) = 1
LCM(86590,86601) = ( 86590 × 86601) / 1
LCM(86590,86601) = 7498780590 / 1
LCM(86590,86601) = 7498780590

Least Common Multiple (LCM) of 86590 and 86601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86590 and 86601. First we will calculate the prime factors of 86590 and 86601.

Prime Factorization of 86590

Prime Factorization of 86601

Now multiplying the highest exponent prime factors to calculate the LCM of 86590 and 86601.

LCM(86590,86601) = 2¹ × 5¹ × 7¹ × 1237¹ × 3¹ × 28867¹
LCM(86590,86601) = 7498780590