What is the Least Common Multiple of 8370 and 8386?

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 8370 and 8386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8370 and 8386, than apply into the LCM equation.

GCF(8370,8386) = 2
LCM(8370,8386) = ( 8370 × 8386) / 2
LCM(8370,8386) = 70190820 / 2
LCM(8370,8386) = 35095410

Least Common Multiple (LCM) of 8370 and 8386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8370 and 8386. First we will calculate the prime factors of 8370 and 8386.

Prime Factorization of 8370

Prime Factorization of 8386

Now multiplying the highest exponent prime factors to calculate the LCM of 8370 and 8386.

LCM(8370,8386) = 2¹ × 3³ × 5¹ × 31¹ × 7¹ × 599¹
LCM(8370,8386) = 35095410