What is the Least Common Multiple of 86686 and 86693?

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 86686 and 86693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86686 and 86693, than apply into the LCM equation.

GCF(86686,86693) = 1
LCM(86686,86693) = ( 86686 × 86693) / 1
LCM(86686,86693) = 7515069398 / 1
LCM(86686,86693) = 7515069398

Least Common Multiple (LCM) of 86686 and 86693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86686 and 86693. First we will calculate the prime factors of 86686 and 86693.

Prime Factorization of 86686

Prime Factorization of 86693

Now multiplying the highest exponent prime factors to calculate the LCM of 86686 and 86693.

LCM(86686,86693) = 2¹ × 89¹ × 487¹ × 86693¹
LCM(86686,86693) = 7515069398