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What is the Least Common Multiple of 22418 and 22432?

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 22418 and 22432 is 251440288.

LCM(22418,22432) = 251440288

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Least Common Multiple of 22418 and 22432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22418 and 22432, than apply into the LCM equation.

GCF(22418,22432) = 2
LCM(22418,22432) = ( 22418 × 22432) / 2
LCM(22418,22432) = 502880576 / 2
LCM(22418,22432) = 251440288

Least Common Multiple (LCM) of 22418 and 22432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22418 and 22432. First we will calculate the prime factors of 22418 and 22432.

Prime Factorization of 22418

Prime factors of 22418 are 2, 11, 1019. Prime factorization of 22418 in exponential form is:

22418 = 21 × 111 × 10191

Prime Factorization of 22432

Prime factors of 22432 are 2, 701. Prime factorization of 22432 in exponential form is:

22432 = 25 × 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 22418 and 22432.

LCM(22418,22432) = 25 × 111 × 10191 × 7011
LCM(22418,22432) = 251440288