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What is the Least Common Multiple of 22486 and 22497?

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 22486 and 22497 is 505867542.

LCM(22486,22497) = 505867542

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Least Common Multiple of 22486 and 22497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22486 and 22497, than apply into the LCM equation.

GCF(22486,22497) = 1
LCM(22486,22497) = ( 22486 × 22497) / 1
LCM(22486,22497) = 505867542 / 1
LCM(22486,22497) = 505867542

Least Common Multiple (LCM) of 22486 and 22497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22486 and 22497. First we will calculate the prime factors of 22486 and 22497.

Prime Factorization of 22486

Prime factors of 22486 are 2, 11243. Prime factorization of 22486 in exponential form is:

22486 = 21 × 112431

Prime Factorization of 22497

Prime factors of 22497 are 3, 7499. Prime factorization of 22497 in exponential form is:

22497 = 31 × 74991

Now multiplying the highest exponent prime factors to calculate the LCM of 22486 and 22497.

LCM(22486,22497) = 21 × 112431 × 31 × 74991
LCM(22486,22497) = 505867542