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What is the Least Common Multiple of 24067 and 24078?

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 24067 and 24078 is 579485226.

LCM(24067,24078) = 579485226

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Least Common Multiple of 24067 and 24078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24067 and 24078, than apply into the LCM equation.

GCF(24067,24078) = 1
LCM(24067,24078) = ( 24067 × 24078) / 1
LCM(24067,24078) = 579485226 / 1
LCM(24067,24078) = 579485226

Least Common Multiple (LCM) of 24067 and 24078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24067 and 24078. First we will calculate the prime factors of 24067 and 24078.

Prime Factorization of 24067

Prime factors of 24067 are 41, 587. Prime factorization of 24067 in exponential form is:

24067 = 411 × 5871

Prime Factorization of 24078

Prime factors of 24078 are 2, 3, 4013. Prime factorization of 24078 in exponential form is:

24078 = 21 × 31 × 40131

Now multiplying the highest exponent prime factors to calculate the LCM of 24067 and 24078.

LCM(24067,24078) = 411 × 5871 × 21 × 31 × 40131
LCM(24067,24078) = 579485226