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What is the Least Common Multiple of 24666 and 24685?

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 24666 and 24685 is 608880210.

LCM(24666,24685) = 608880210

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Least Common Multiple of 24666 and 24685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24666 and 24685, than apply into the LCM equation.

GCF(24666,24685) = 1
LCM(24666,24685) = ( 24666 × 24685) / 1
LCM(24666,24685) = 608880210 / 1
LCM(24666,24685) = 608880210

Least Common Multiple (LCM) of 24666 and 24685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24666 and 24685. First we will calculate the prime factors of 24666 and 24685.

Prime Factorization of 24666

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

24666 = 21 × 31 × 41111

Prime Factorization of 24685

Prime factors of 24685 are 5, 4937. Prime factorization of 24685 in exponential form is:

24685 = 51 × 49371

Now multiplying the highest exponent prime factors to calculate the LCM of 24666 and 24685.

LCM(24666,24685) = 21 × 31 × 41111 × 51 × 49371
LCM(24666,24685) = 608880210