What is the Least Common Multiple of 4374 and 4382?

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 4374 and 4382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4374 and 4382, than apply into the LCM equation.

GCF(4374,4382) = 2
LCM(4374,4382) = ( 4374 × 4382) / 2
LCM(4374,4382) = 19166868 / 2
LCM(4374,4382) = 9583434

Least Common Multiple (LCM) of 4374 and 4382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4374 and 4382. First we will calculate the prime factors of 4374 and 4382.

Prime Factorization of 4374

Prime Factorization of 4382

Now multiplying the highest exponent prime factors to calculate the LCM of 4374 and 4382.

LCM(4374,4382) = 2¹ × 3⁷ × 7¹ × 313¹
LCM(4374,4382) = 9583434