What is the Least Common Multiple of 86680 and 86699?

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 86680 and 86699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86680 and 86699, than apply into the LCM equation.

GCF(86680,86699) = 1
LCM(86680,86699) = ( 86680 × 86699) / 1
LCM(86680,86699) = 7515069320 / 1
LCM(86680,86699) = 7515069320

Least Common Multiple (LCM) of 86680 and 86699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86680 and 86699. First we will calculate the prime factors of 86680 and 86699.

Prime Factorization of 86680

Prime Factorization of 86699

Now multiplying the highest exponent prime factors to calculate the LCM of 86680 and 86699.

LCM(86680,86699) = 2³ × 5¹ × 11¹ × 197¹ × 181¹ × 479¹
LCM(86680,86699) = 7515069320