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What is the Least Common Multiple of 53604 and 53611?

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 53604 and 53611 is 2873764044.

LCM(53604,53611) = 2873764044

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Least Common Multiple of 53604 and 53611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53604 and 53611, than apply into the LCM equation.

GCF(53604,53611) = 1
LCM(53604,53611) = ( 53604 × 53611) / 1
LCM(53604,53611) = 2873764044 / 1
LCM(53604,53611) = 2873764044

Least Common Multiple (LCM) of 53604 and 53611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53604 and 53611. First we will calculate the prime factors of 53604 and 53611.

Prime Factorization of 53604

Prime factors of 53604 are 2, 3, 1489. Prime factorization of 53604 in exponential form is:

53604 = 22 × 32 × 14891

Prime Factorization of 53611

Prime factors of 53611 are 53611. Prime factorization of 53611 in exponential form is:

53611 = 536111

Now multiplying the highest exponent prime factors to calculate the LCM of 53604 and 53611.

LCM(53604,53611) = 22 × 32 × 14891 × 536111
LCM(53604,53611) = 2873764044