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What is the Least Common Multiple of 22505 and 22514?

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 22505 and 22514 is 506677570.

LCM(22505,22514) = 506677570

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Least Common Multiple of 22505 and 22514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22505 and 22514, than apply into the LCM equation.

GCF(22505,22514) = 1
LCM(22505,22514) = ( 22505 × 22514) / 1
LCM(22505,22514) = 506677570 / 1
LCM(22505,22514) = 506677570

Least Common Multiple (LCM) of 22505 and 22514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22505 and 22514. First we will calculate the prime factors of 22505 and 22514.

Prime Factorization of 22505

Prime factors of 22505 are 5, 7, 643. Prime factorization of 22505 in exponential form is:

22505 = 51 × 71 × 6431

Prime Factorization of 22514

Prime factors of 22514 are 2, 11257. Prime factorization of 22514 in exponential form is:

22514 = 21 × 112571

Now multiplying the highest exponent prime factors to calculate the LCM of 22505 and 22514.

LCM(22505,22514) = 51 × 71 × 6431 × 21 × 112571
LCM(22505,22514) = 506677570