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What is the Least Common Multiple of 24655 and 24662?

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 24662 is 608041610.

LCM(24655,24662) = 608041610

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Least Common Multiple of 24655 and 24662 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 24662, than apply into the LCM equation.

GCF(24655,24662) = 1
LCM(24655,24662) = ( 24655 × 24662) / 1
LCM(24655,24662) = 608041610 / 1
LCM(24655,24662) = 608041610

Least Common Multiple (LCM) of 24655 and 24662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24655 and 24662. First we will calculate the prime factors of 24655 and 24662.

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 24662

Prime factors of 24662 are 2, 11, 19, 59. Prime factorization of 24662 in exponential form is:

24662 = 21 × 111 × 191 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 24655 and 24662.

LCM(24655,24662) = 51 × 49311 × 21 × 111 × 191 × 591
LCM(24655,24662) = 608041610