What is the Least Common Multiple of 3354 and 3374?

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 3354 and 3374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3354 and 3374, than apply into the LCM equation.

GCF(3354,3374) = 2
LCM(3354,3374) = ( 3354 × 3374) / 2
LCM(3354,3374) = 11316396 / 2
LCM(3354,3374) = 5658198

Least Common Multiple (LCM) of 3354 and 3374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3354 and 3374. First we will calculate the prime factors of 3354 and 3374.

Prime Factorization of 3354

Prime Factorization of 3374

Now multiplying the highest exponent prime factors to calculate the LCM of 3354 and 3374.

LCM(3354,3374) = 2¹ × 3¹ × 13¹ × 43¹ × 7¹ × 241¹
LCM(3354,3374) = 5658198