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What is the Least Common Multiple of 24046 and 24063?

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 24046 and 24063 is 578618898.

LCM(24046,24063) = 578618898

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Least Common Multiple of 24046 and 24063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24046 and 24063, than apply into the LCM equation.

GCF(24046,24063) = 1
LCM(24046,24063) = ( 24046 × 24063) / 1
LCM(24046,24063) = 578618898 / 1
LCM(24046,24063) = 578618898

Least Common Multiple (LCM) of 24046 and 24063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24046 and 24063. First we will calculate the prime factors of 24046 and 24063.

Prime Factorization of 24046

Prime factors of 24046 are 2, 11, 1093. Prime factorization of 24046 in exponential form is:

24046 = 21 × 111 × 10931

Prime Factorization of 24063

Prime factors of 24063 are 3, 13, 617. Prime factorization of 24063 in exponential form is:

24063 = 31 × 131 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 24046 and 24063.

LCM(24046,24063) = 21 × 111 × 10931 × 31 × 131 × 6171
LCM(24046,24063) = 578618898