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What is the Least Common Multiple of 24655 and 24666?

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 24655 and 24666 is 608140230.

LCM(24655,24666) = 608140230

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Least Common Multiple of 24655 and 24666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24655 and 24666, than apply into the LCM equation.

GCF(24655,24666) = 1
LCM(24655,24666) = ( 24655 × 24666) / 1
LCM(24655,24666) = 608140230 / 1
LCM(24655,24666) = 608140230

Least Common Multiple (LCM) of 24655 and 24666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24655 and 24666. First we will calculate the prime factors of 24655 and 24666.

Prime Factorization of 24655

Prime factors of 24655 are 5, 4931. Prime factorization of 24655 in exponential form is:

24655 = 51 × 49311

Prime Factorization of 24666

Prime factors of 24666 are 2, 3, 4111. Prime factorization of 24666 in exponential form is:

24666 = 21 × 31 × 41111

Now multiplying the highest exponent prime factors to calculate the LCM of 24655 and 24666.

LCM(24655,24666) = 51 × 49311 × 21 × 31 × 41111
LCM(24655,24666) = 608140230