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What is the Least Common Multiple of 22699 and 22717?

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 22699 and 22717 is 515653183.

LCM(22699,22717) = 515653183

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Least Common Multiple of 22699 and 22717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22699 and 22717, than apply into the LCM equation.

GCF(22699,22717) = 1
LCM(22699,22717) = ( 22699 × 22717) / 1
LCM(22699,22717) = 515653183 / 1
LCM(22699,22717) = 515653183

Least Common Multiple (LCM) of 22699 and 22717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22699 and 22717. First we will calculate the prime factors of 22699 and 22717.

Prime Factorization of 22699

Prime factors of 22699 are 22699. Prime factorization of 22699 in exponential form is:

22699 = 226991

Prime Factorization of 22717

Prime factors of 22717 are 22717. Prime factorization of 22717 in exponential form is:

22717 = 227171

Now multiplying the highest exponent prime factors to calculate the LCM of 22699 and 22717.

LCM(22699,22717) = 226991 × 227171
LCM(22699,22717) = 515653183