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What is the Least Common Multiple of 33367 and 33372?

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 33367 and 33372 is 1113523524.

LCM(33367,33372) = 1113523524

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Least Common Multiple of 33367 and 33372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33367 and 33372, than apply into the LCM equation.

GCF(33367,33372) = 1
LCM(33367,33372) = ( 33367 × 33372) / 1
LCM(33367,33372) = 1113523524 / 1
LCM(33367,33372) = 1113523524

Least Common Multiple (LCM) of 33367 and 33372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33367 and 33372. First we will calculate the prime factors of 33367 and 33372.

Prime Factorization of 33367

Prime factors of 33367 are 61, 547. Prime factorization of 33367 in exponential form is:

33367 = 611 × 5471

Prime Factorization of 33372

Prime factors of 33372 are 2, 3, 103. Prime factorization of 33372 in exponential form is:

33372 = 22 × 34 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 33367 and 33372.

LCM(33367,33372) = 611 × 5471 × 22 × 34 × 1031
LCM(33367,33372) = 1113523524