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What is the Least Common Multiple of 22894 and 22901?

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 22894 and 22901 is 524295494.

LCM(22894,22901) = 524295494

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Least Common Multiple of 22894 and 22901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22894 and 22901, than apply into the LCM equation.

GCF(22894,22901) = 1
LCM(22894,22901) = ( 22894 × 22901) / 1
LCM(22894,22901) = 524295494 / 1
LCM(22894,22901) = 524295494

Least Common Multiple (LCM) of 22894 and 22901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22894 and 22901. First we will calculate the prime factors of 22894 and 22901.

Prime Factorization of 22894

Prime factors of 22894 are 2, 11447. Prime factorization of 22894 in exponential form is:

22894 = 21 × 114471

Prime Factorization of 22901

Prime factors of 22901 are 22901. Prime factorization of 22901 in exponential form is:

22901 = 229011

Now multiplying the highest exponent prime factors to calculate the LCM of 22894 and 22901.

LCM(22894,22901) = 21 × 114471 × 229011
LCM(22894,22901) = 524295494