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What is the Least Common Multiple of 25653 and 25662?

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 25653 and 25662 is 219435762.

LCM(25653,25662) = 219435762

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Least Common Multiple of 25653 and 25662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25653 and 25662, than apply into the LCM equation.

GCF(25653,25662) = 3
LCM(25653,25662) = ( 25653 × 25662) / 3
LCM(25653,25662) = 658307286 / 3
LCM(25653,25662) = 219435762

Least Common Multiple (LCM) of 25653 and 25662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25653 and 25662. First we will calculate the prime factors of 25653 and 25662.

Prime Factorization of 25653

Prime factors of 25653 are 3, 17, 503. Prime factorization of 25653 in exponential form is:

25653 = 31 × 171 × 5031

Prime Factorization of 25662

Prime factors of 25662 are 2, 3, 7, 13, 47. Prime factorization of 25662 in exponential form is:

25662 = 21 × 31 × 71 × 131 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 25653 and 25662.

LCM(25653,25662) = 31 × 171 × 5031 × 21 × 71 × 131 × 471
LCM(25653,25662) = 219435762