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What is the Least Common Multiple of 25509 and 25522?

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 25509 and 25522 is 651040698.

LCM(25509,25522) = 651040698

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Least Common Multiple of 25509 and 25522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25509 and 25522, than apply into the LCM equation.

GCF(25509,25522) = 1
LCM(25509,25522) = ( 25509 × 25522) / 1
LCM(25509,25522) = 651040698 / 1
LCM(25509,25522) = 651040698

Least Common Multiple (LCM) of 25509 and 25522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25509 and 25522. First we will calculate the prime factors of 25509 and 25522.

Prime Factorization of 25509

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

25509 = 31 × 111 × 7731

Prime Factorization of 25522

Prime factors of 25522 are 2, 7, 1823. Prime factorization of 25522 in exponential form is:

25522 = 21 × 71 × 18231

Now multiplying the highest exponent prime factors to calculate the LCM of 25509 and 25522.

LCM(25509,25522) = 31 × 111 × 7731 × 21 × 71 × 18231
LCM(25509,25522) = 651040698