What is the Least Common Multiple of 33968 and 33978?

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 33968 and 33978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33968 and 33978, than apply into the LCM equation.

GCF(33968,33978) = 2
LCM(33968,33978) = ( 33968 × 33978) / 2
LCM(33968,33978) = 1154164704 / 2
LCM(33968,33978) = 577082352

Least Common Multiple (LCM) of 33968 and 33978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33968 and 33978. First we will calculate the prime factors of 33968 and 33978.

Prime Factorization of 33968

Prime Factorization of 33978

Now multiplying the highest exponent prime factors to calculate the LCM of 33968 and 33978.

LCM(33968,33978) = 2⁴ × 11¹ × 193¹ × 3¹ × 7¹ × 809¹
LCM(33968,33978) = 577082352