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What is the Least Common Multiple of 24011 and 24023?

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 24011 and 24023 is 576816253.

LCM(24011,24023) = 576816253

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Least Common Multiple of 24011 and 24023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24011 and 24023, than apply into the LCM equation.

GCF(24011,24023) = 1
LCM(24011,24023) = ( 24011 × 24023) / 1
LCM(24011,24023) = 576816253 / 1
LCM(24011,24023) = 576816253

Least Common Multiple (LCM) of 24011 and 24023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24011 and 24023. First we will calculate the prime factors of 24011 and 24023.

Prime Factorization of 24011

Prime factors of 24011 are 13, 1847. Prime factorization of 24011 in exponential form is:

24011 = 131 × 18471

Prime Factorization of 24023

Prime factors of 24023 are 24023. Prime factorization of 24023 in exponential form is:

24023 = 240231

Now multiplying the highest exponent prime factors to calculate the LCM of 24011 and 24023.

LCM(24011,24023) = 131 × 18471 × 240231
LCM(24011,24023) = 576816253