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What is the Least Common Multiple of 24161 and 24166?

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 24161 and 24166 is 583874726.

LCM(24161,24166) = 583874726

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Least Common Multiple of 24161 and 24166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24161 and 24166, than apply into the LCM equation.

GCF(24161,24166) = 1
LCM(24161,24166) = ( 24161 × 24166) / 1
LCM(24161,24166) = 583874726 / 1
LCM(24161,24166) = 583874726

Least Common Multiple (LCM) of 24161 and 24166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24161 and 24166. First we will calculate the prime factors of 24161 and 24166.

Prime Factorization of 24161

Prime factors of 24161 are 37, 653. Prime factorization of 24161 in exponential form is:

24161 = 371 × 6531

Prime Factorization of 24166

Prime factors of 24166 are 2, 43, 281. Prime factorization of 24166 in exponential form is:

24166 = 21 × 431 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 24161 and 24166.

LCM(24161,24166) = 371 × 6531 × 21 × 431 × 2811
LCM(24161,24166) = 583874726