What is the Least Common Multiple of 86702 and 86714?

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 86702 and 86714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86702 and 86714, than apply into the LCM equation.

GCF(86702,86714) = 2
LCM(86702,86714) = ( 86702 × 86714) / 2
LCM(86702,86714) = 7518277228 / 2
LCM(86702,86714) = 3759138614

Least Common Multiple (LCM) of 86702 and 86714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86702 and 86714. First we will calculate the prime factors of 86702 and 86714.

Prime Factorization of 86702

Prime Factorization of 86714

Now multiplying the highest exponent prime factors to calculate the LCM of 86702 and 86714.

LCM(86702,86714) = 2¹ × 7¹ × 11¹ × 563¹ × 191¹ × 227¹
LCM(86702,86714) = 3759138614