What is the Least Common Multiple of 33768 and 33776?

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 33768 and 33776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33768 and 33776, than apply into the LCM equation.

GCF(33768,33776) = 8
LCM(33768,33776) = ( 33768 × 33776) / 8
LCM(33768,33776) = 1140547968 / 8
LCM(33768,33776) = 142568496

Least Common Multiple (LCM) of 33768 and 33776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33768 and 33776. First we will calculate the prime factors of 33768 and 33776.

Prime Factorization of 33768

Prime Factorization of 33776

Now multiplying the highest exponent prime factors to calculate the LCM of 33768 and 33776.

LCM(33768,33776) = 2⁴ × 3² × 7¹ × 67¹ × 2111¹
LCM(33768,33776) = 142568496