What is the Least Common Multiple of 28374 and 28382?

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 28374 and 28382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28374 and 28382, than apply into the LCM equation.

GCF(28374,28382) = 2
LCM(28374,28382) = ( 28374 × 28382) / 2
LCM(28374,28382) = 805310868 / 2
LCM(28374,28382) = 402655434

Least Common Multiple (LCM) of 28374 and 28382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28374 and 28382. First we will calculate the prime factors of 28374 and 28382.

Prime Factorization of 28374

Prime Factorization of 28382

Now multiplying the highest exponent prime factors to calculate the LCM of 28374 and 28382.

LCM(28374,28382) = 2¹ × 3¹ × 4729¹ × 23¹ × 617¹
LCM(28374,28382) = 402655434