What is the Least Common Multiple of 86690 and 86702?

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 86690 and 86702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86690 and 86702, than apply into the LCM equation.

GCF(86690,86702) = 2
LCM(86690,86702) = ( 86690 × 86702) / 2
LCM(86690,86702) = 7516196380 / 2
LCM(86690,86702) = 3758098190

Least Common Multiple (LCM) of 86690 and 86702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86690 and 86702. First we will calculate the prime factors of 86690 and 86702.

Prime Factorization of 86690

Prime Factorization of 86702

Now multiplying the highest exponent prime factors to calculate the LCM of 86690 and 86702.

LCM(86690,86702) = 2¹ × 5¹ × 8669¹ × 7¹ × 11¹ × 563¹
LCM(86690,86702) = 3758098190