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What is the Least Common Multiple of 22718 and 22724?

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 22718 and 22724 is 258121916.

LCM(22718,22724) = 258121916

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Least Common Multiple of 22718 and 22724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22718 and 22724, than apply into the LCM equation.

GCF(22718,22724) = 2
LCM(22718,22724) = ( 22718 × 22724) / 2
LCM(22718,22724) = 516243832 / 2
LCM(22718,22724) = 258121916

Least Common Multiple (LCM) of 22718 and 22724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22718 and 22724. First we will calculate the prime factors of 22718 and 22724.

Prime Factorization of 22718

Prime factors of 22718 are 2, 37, 307. Prime factorization of 22718 in exponential form is:

22718 = 21 × 371 × 3071

Prime Factorization of 22724

Prime factors of 22724 are 2, 13, 19, 23. Prime factorization of 22724 in exponential form is:

22724 = 22 × 131 × 191 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 22718 and 22724.

LCM(22718,22724) = 22 × 371 × 3071 × 131 × 191 × 231
LCM(22718,22724) = 258121916