What is the Least Common Multiple of 8378 and 8383?

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 8383 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 8383, than apply into the LCM equation.

GCF(8378,8383) = 1
LCM(8378,8383) = ( 8378 × 8383) / 1
LCM(8378,8383) = 70232774 / 1
LCM(8378,8383) = 70232774

Least Common Multiple (LCM) of 8378 and 8383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8378 and 8383. First we will calculate the prime factors of 8378 and 8383.

Prime Factorization of 8378

Prime Factorization of 8383

Now multiplying the highest exponent prime factors to calculate the LCM of 8378 and 8383.

LCM(8378,8383) = 2¹ × 59¹ × 71¹ × 83¹ × 101¹
LCM(8378,8383) = 70232774