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What is the Least Common Multiple of 10607 and 10611?

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 10607 and 10611 is 112550877.

LCM(10607,10611) = 112550877

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Least Common Multiple of 10607 and 10611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10607 and 10611, than apply into the LCM equation.

GCF(10607,10611) = 1
LCM(10607,10611) = ( 10607 × 10611) / 1
LCM(10607,10611) = 112550877 / 1
LCM(10607,10611) = 112550877

Least Common Multiple (LCM) of 10607 and 10611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10607 and 10611. First we will calculate the prime factors of 10607 and 10611.

Prime Factorization of 10607

Prime factors of 10607 are 10607. Prime factorization of 10607 in exponential form is:

10607 = 106071

Prime Factorization of 10611

Prime factors of 10611 are 3, 131. Prime factorization of 10611 in exponential form is:

10611 = 34 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 10607 and 10611.

LCM(10607,10611) = 106071 × 34 × 1311
LCM(10607,10611) = 112550877