What is the Least Common Multiple of 8378 and 8392?

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 8392 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 8392, than apply into the LCM equation.

GCF(8378,8392) = 2
LCM(8378,8392) = ( 8378 × 8392) / 2
LCM(8378,8392) = 70308176 / 2
LCM(8378,8392) = 35154088

Least Common Multiple (LCM) of 8378 and 8392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8378 and 8392. First we will calculate the prime factors of 8378 and 8392.

Prime Factorization of 8378

Prime Factorization of 8392

Now multiplying the highest exponent prime factors to calculate the LCM of 8378 and 8392.

LCM(8378,8392) = 2³ × 59¹ × 71¹ × 1049¹
LCM(8378,8392) = 35154088