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What is the Least Common Multiple of 25494 and 25509?

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 25494 and 25509 is 216775482.

LCM(25494,25509) = 216775482

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Least Common Multiple of 25494 and 25509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25494 and 25509, than apply into the LCM equation.

GCF(25494,25509) = 3
LCM(25494,25509) = ( 25494 × 25509) / 3
LCM(25494,25509) = 650326446 / 3
LCM(25494,25509) = 216775482

Least Common Multiple (LCM) of 25494 and 25509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25494 and 25509. First we will calculate the prime factors of 25494 and 25509.

Prime Factorization of 25494

Prime factors of 25494 are 2, 3, 7, 607. Prime factorization of 25494 in exponential form is:

25494 = 21 × 31 × 71 × 6071

Prime Factorization of 25509

Prime factors of 25509 are 3, 11, 773. Prime factorization of 25509 in exponential form is:

25509 = 31 × 111 × 7731

Now multiplying the highest exponent prime factors to calculate the LCM of 25494 and 25509.

LCM(25494,25509) = 21 × 31 × 71 × 6071 × 111 × 7731
LCM(25494,25509) = 216775482