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What is the Least Common Multiple of 24043 and 24062?

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 24043 and 24062 is 578522666.

LCM(24043,24062) = 578522666

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Least Common Multiple of 24043 and 24062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24043 and 24062, than apply into the LCM equation.

GCF(24043,24062) = 1
LCM(24043,24062) = ( 24043 × 24062) / 1
LCM(24043,24062) = 578522666 / 1
LCM(24043,24062) = 578522666

Least Common Multiple (LCM) of 24043 and 24062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24043 and 24062. First we will calculate the prime factors of 24043 and 24062.

Prime Factorization of 24043

Prime factors of 24043 are 24043. Prime factorization of 24043 in exponential form is:

24043 = 240431

Prime Factorization of 24062

Prime factors of 24062 are 2, 53, 227. Prime factorization of 24062 in exponential form is:

24062 = 21 × 531 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 24043 and 24062.

LCM(24043,24062) = 240431 × 21 × 531 × 2271
LCM(24043,24062) = 578522666