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What is the Least Common Multiple of 10627 and 10633?

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 10627 and 10633 is 112996891.

LCM(10627,10633) = 112996891

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Least Common Multiple of 10627 and 10633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10627 and 10633, than apply into the LCM equation.

GCF(10627,10633) = 1
LCM(10627,10633) = ( 10627 × 10633) / 1
LCM(10627,10633) = 112996891 / 1
LCM(10627,10633) = 112996891

Least Common Multiple (LCM) of 10627 and 10633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10627 and 10633. First we will calculate the prime factors of 10627 and 10633.

Prime Factorization of 10627

Prime factors of 10627 are 10627. Prime factorization of 10627 in exponential form is:

10627 = 106271

Prime Factorization of 10633

Prime factors of 10633 are 7, 31. Prime factorization of 10633 in exponential form is:

10633 = 73 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 10627 and 10633.

LCM(10627,10633) = 106271 × 73 × 311
LCM(10627,10633) = 112996891