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What is the Least Common Multiple of 33044 and 33061?

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 33044 and 33061 is 1092467684.

LCM(33044,33061) = 1092467684

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Least Common Multiple of 33044 and 33061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33044 and 33061, than apply into the LCM equation.

GCF(33044,33061) = 1
LCM(33044,33061) = ( 33044 × 33061) / 1
LCM(33044,33061) = 1092467684 / 1
LCM(33044,33061) = 1092467684

Least Common Multiple (LCM) of 33044 and 33061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33044 and 33061. First we will calculate the prime factors of 33044 and 33061.

Prime Factorization of 33044

Prime factors of 33044 are 2, 11, 751. Prime factorization of 33044 in exponential form is:

33044 = 22 × 111 × 7511

Prime Factorization of 33061

Prime factors of 33061 are 7, 4723. Prime factorization of 33061 in exponential form is:

33061 = 71 × 47231

Now multiplying the highest exponent prime factors to calculate the LCM of 33044 and 33061.

LCM(33044,33061) = 22 × 111 × 7511 × 71 × 47231
LCM(33044,33061) = 1092467684