What is the Least Common Multiple of 8374 and 8382?

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 8374 and 8382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8374 and 8382, than apply into the LCM equation.

GCF(8374,8382) = 2
LCM(8374,8382) = ( 8374 × 8382) / 2
LCM(8374,8382) = 70190868 / 2
LCM(8374,8382) = 35095434

Least Common Multiple (LCM) of 8374 and 8382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8374 and 8382. First we will calculate the prime factors of 8374 and 8382.

Prime Factorization of 8374

Prime Factorization of 8382

Now multiplying the highest exponent prime factors to calculate the LCM of 8374 and 8382.

LCM(8374,8382) = 2¹ × 53¹ × 79¹ × 3¹ × 11¹ × 127¹
LCM(8374,8382) = 35095434