What is the Least Common Multiple of 8378 and 8390?

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 8378 and 8390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8378 and 8390, than apply into the LCM equation.

GCF(8378,8390) = 2
LCM(8378,8390) = ( 8378 × 8390) / 2
LCM(8378,8390) = 70291420 / 2
LCM(8378,8390) = 35145710

Least Common Multiple (LCM) of 8378 and 8390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8378 and 8390. First we will calculate the prime factors of 8378 and 8390.

Prime Factorization of 8378

Prime Factorization of 8390

Now multiplying the highest exponent prime factors to calculate the LCM of 8378 and 8390.

LCM(8378,8390) = 2¹ × 59¹ × 71¹ × 5¹ × 839¹
LCM(8378,8390) = 35145710