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What is the Least Common Multiple of 24034 and 24042?

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 24034 and 24042 is 288912714.

LCM(24034,24042) = 288912714

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Least Common Multiple of 24034 and 24042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24034 and 24042, than apply into the LCM equation.

GCF(24034,24042) = 2
LCM(24034,24042) = ( 24034 × 24042) / 2
LCM(24034,24042) = 577825428 / 2
LCM(24034,24042) = 288912714

Least Common Multiple (LCM) of 24034 and 24042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24034 and 24042. First we will calculate the prime factors of 24034 and 24042.

Prime Factorization of 24034

Prime factors of 24034 are 2, 61, 197. Prime factorization of 24034 in exponential form is:

24034 = 21 × 611 × 1971

Prime Factorization of 24042

Prime factors of 24042 are 2, 3, 4007. Prime factorization of 24042 in exponential form is:

24042 = 21 × 31 × 40071

Now multiplying the highest exponent prime factors to calculate the LCM of 24034 and 24042.

LCM(24034,24042) = 21 × 611 × 1971 × 31 × 40071
LCM(24034,24042) = 288912714