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What is the Least Common Multiple of 33251 and 33262?

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 33251 and 33262 is 1105994762.

LCM(33251,33262) = 1105994762

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Least Common Multiple of 33251 and 33262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33251 and 33262, than apply into the LCM equation.

GCF(33251,33262) = 1
LCM(33251,33262) = ( 33251 × 33262) / 1
LCM(33251,33262) = 1105994762 / 1
LCM(33251,33262) = 1105994762

Least Common Multiple (LCM) of 33251 and 33262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33251 and 33262. First we will calculate the prime factors of 33251 and 33262.

Prime Factorization of 33251

Prime factors of 33251 are 41, 811. Prime factorization of 33251 in exponential form is:

33251 = 411 × 8111

Prime Factorization of 33262

Prime factors of 33262 are 2, 16631. Prime factorization of 33262 in exponential form is:

33262 = 21 × 166311

Now multiplying the highest exponent prime factors to calculate the LCM of 33251 and 33262.

LCM(33251,33262) = 411 × 8111 × 21 × 166311
LCM(33251,33262) = 1105994762