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What is the Least Common Multiple of 22685 and 22694?

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 22685 and 22694 is 514813390.

LCM(22685,22694) = 514813390

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Least Common Multiple of 22685 and 22694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22685 and 22694, than apply into the LCM equation.

GCF(22685,22694) = 1
LCM(22685,22694) = ( 22685 × 22694) / 1
LCM(22685,22694) = 514813390 / 1
LCM(22685,22694) = 514813390

Least Common Multiple (LCM) of 22685 and 22694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22685 and 22694. First we will calculate the prime factors of 22685 and 22694.

Prime Factorization of 22685

Prime factors of 22685 are 5, 13, 349. Prime factorization of 22685 in exponential form is:

22685 = 51 × 131 × 3491

Prime Factorization of 22694

Prime factors of 22694 are 2, 7, 1621. Prime factorization of 22694 in exponential form is:

22694 = 21 × 71 × 16211

Now multiplying the highest exponent prime factors to calculate the LCM of 22685 and 22694.

LCM(22685,22694) = 51 × 131 × 3491 × 21 × 71 × 16211
LCM(22685,22694) = 514813390