What is the Least Common Multiple of 3374 and 3388?

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 3374 and 3388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3374 and 3388, than apply into the LCM equation.

GCF(3374,3388) = 14
LCM(3374,3388) = ( 3374 × 3388) / 14
LCM(3374,3388) = 11431112 / 14
LCM(3374,3388) = 816508

Least Common Multiple (LCM) of 3374 and 3388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3374 and 3388. First we will calculate the prime factors of 3374 and 3388.

Prime Factorization of 3374

Prime Factorization of 3388

Now multiplying the highest exponent prime factors to calculate the LCM of 3374 and 3388.

LCM(3374,3388) = 2² × 7¹ × 241¹ × 11²
LCM(3374,3388) = 816508