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What is the Least Common Multiple of 13625 and 13636?

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 13625 and 13636 is 185790500.

LCM(13625,13636) = 185790500

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Least Common Multiple of 13625 and 13636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13625 and 13636, than apply into the LCM equation.

GCF(13625,13636) = 1
LCM(13625,13636) = ( 13625 × 13636) / 1
LCM(13625,13636) = 185790500 / 1
LCM(13625,13636) = 185790500

Least Common Multiple (LCM) of 13625 and 13636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13625 and 13636. First we will calculate the prime factors of 13625 and 13636.

Prime Factorization of 13625

Prime factors of 13625 are 5, 109. Prime factorization of 13625 in exponential form is:

13625 = 53 × 1091

Prime Factorization of 13636

Prime factors of 13636 are 2, 7, 487. Prime factorization of 13636 in exponential form is:

13636 = 22 × 71 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 13625 and 13636.

LCM(13625,13636) = 53 × 1091 × 22 × 71 × 4871
LCM(13625,13636) = 185790500