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What is the Least Common Multiple of 24883 and 24897?

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 24883 and 24897 is 619512051.

LCM(24883,24897) = 619512051

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Least Common Multiple of 24883 and 24897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24883 and 24897, than apply into the LCM equation.

GCF(24883,24897) = 1
LCM(24883,24897) = ( 24883 × 24897) / 1
LCM(24883,24897) = 619512051 / 1
LCM(24883,24897) = 619512051

Least Common Multiple (LCM) of 24883 and 24897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24883 and 24897. First we will calculate the prime factors of 24883 and 24897.

Prime Factorization of 24883

Prime factors of 24883 are 149, 167. Prime factorization of 24883 in exponential form is:

24883 = 1491 × 1671

Prime Factorization of 24897

Prime factors of 24897 are 3, 43, 193. Prime factorization of 24897 in exponential form is:

24897 = 31 × 431 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 24883 and 24897.

LCM(24883,24897) = 1491 × 1671 × 31 × 431 × 1931
LCM(24883,24897) = 619512051