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What is the Least Common Multiple of 24062 and 24077?

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 24062 and 24077 is 579340774.

LCM(24062,24077) = 579340774

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Least Common Multiple of 24062 and 24077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24062 and 24077, than apply into the LCM equation.

GCF(24062,24077) = 1
LCM(24062,24077) = ( 24062 × 24077) / 1
LCM(24062,24077) = 579340774 / 1
LCM(24062,24077) = 579340774

Least Common Multiple (LCM) of 24062 and 24077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24062 and 24077. First we will calculate the prime factors of 24062 and 24077.

Prime Factorization of 24062

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

24062 = 21 × 531 × 2271

Prime Factorization of 24077

Prime factors of 24077 are 24077. Prime factorization of 24077 in exponential form is:

24077 = 240771

Now multiplying the highest exponent prime factors to calculate the LCM of 24062 and 24077.

LCM(24062,24077) = 21 × 531 × 2271 × 240771
LCM(24062,24077) = 579340774