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What is the Least Common Multiple of 33550 and 33557?

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 33550 and 33557 is 1125837350.

LCM(33550,33557) = 1125837350

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Least Common Multiple of 33550 and 33557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33550 and 33557, than apply into the LCM equation.

GCF(33550,33557) = 1
LCM(33550,33557) = ( 33550 × 33557) / 1
LCM(33550,33557) = 1125837350 / 1
LCM(33550,33557) = 1125837350

Least Common Multiple (LCM) of 33550 and 33557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33550 and 33557. First we will calculate the prime factors of 33550 and 33557.

Prime Factorization of 33550

Prime factors of 33550 are 2, 5, 11, 61. Prime factorization of 33550 in exponential form is:

33550 = 21 × 52 × 111 × 611

Prime Factorization of 33557

Prime factors of 33557 are 23, 1459. Prime factorization of 33557 in exponential form is:

33557 = 231 × 14591

Now multiplying the highest exponent prime factors to calculate the LCM of 33550 and 33557.

LCM(33550,33557) = 21 × 52 × 111 × 611 × 231 × 14591
LCM(33550,33557) = 1125837350