What is the Least Common Multiple of 33368 and 33374?

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 33368 and 33374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33368 and 33374, than apply into the LCM equation.

GCF(33368,33374) = 2
LCM(33368,33374) = ( 33368 × 33374) / 2
LCM(33368,33374) = 1113623632 / 2
LCM(33368,33374) = 556811816

Least Common Multiple (LCM) of 33368 and 33374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33368 and 33374. First we will calculate the prime factors of 33368 and 33374.

Prime Factorization of 33368

Prime Factorization of 33374

Now multiplying the highest exponent prime factors to calculate the LCM of 33368 and 33374.

LCM(33368,33374) = 2³ × 43¹ × 97¹ × 11¹ × 37¹ × 41¹
LCM(33368,33374) = 556811816