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What is the Least Common Multiple of 33751 and 33767?

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 (LCM) of 33751 and 33767 is 1139670017.

LCM(33751,33767) = 1139670017

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Least Common Multiple of 33751 and 33767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33751 and 33767, than apply into the LCM equation.

GCF(33751,33767) = 1
LCM(33751,33767) = ( 33751 × 33767) / 1
LCM(33751,33767) = 1139670017 / 1
LCM(33751,33767) = 1139670017

Least Common Multiple (LCM) of 33751 and 33767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33751 and 33767. First we will calculate the prime factors of 33751 and 33767.

Prime Factorization of 33751

Prime factors of 33751 are 33751. Prime factorization of 33751 in exponential form is:

33751 = 337511

Prime Factorization of 33767

Prime factors of 33767 are 33767. Prime factorization of 33767 in exponential form is:

33767 = 337671

Now multiplying the highest exponent prime factors to calculate the LCM of 33751 and 33767.

LCM(33751,33767) = 337511 × 337671
LCM(33751,33767) = 1139670017