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What is the Least Common Multiple of 24061 and 24080?

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 24061 and 24080 is 579388880.

LCM(24061,24080) = 579388880

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Least Common Multiple of 24061 and 24080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24061 and 24080, than apply into the LCM equation.

GCF(24061,24080) = 1
LCM(24061,24080) = ( 24061 × 24080) / 1
LCM(24061,24080) = 579388880 / 1
LCM(24061,24080) = 579388880

Least Common Multiple (LCM) of 24061 and 24080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24061 and 24080. First we will calculate the prime factors of 24061 and 24080.

Prime Factorization of 24061

Prime factors of 24061 are 24061. Prime factorization of 24061 in exponential form is:

24061 = 240611

Prime Factorization of 24080

Prime factors of 24080 are 2, 5, 7, 43. Prime factorization of 24080 in exponential form is:

24080 = 24 × 51 × 71 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 24061 and 24080.

LCM(24061,24080) = 240611 × 24 × 51 × 71 × 431
LCM(24061,24080) = 579388880