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What is the Least Common Multiple of 11409 and 11425?

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 11409 and 11425 is 130347825.

LCM(11409,11425) = 130347825

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Least Common Multiple of 11409 and 11425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11409 and 11425, than apply into the LCM equation.

GCF(11409,11425) = 1
LCM(11409,11425) = ( 11409 × 11425) / 1
LCM(11409,11425) = 130347825 / 1
LCM(11409,11425) = 130347825

Least Common Multiple (LCM) of 11409 and 11425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11409 and 11425. First we will calculate the prime factors of 11409 and 11425.

Prime Factorization of 11409

Prime factors of 11409 are 3, 3803. Prime factorization of 11409 in exponential form is:

11409 = 31 × 38031

Prime Factorization of 11425

Prime factors of 11425 are 5, 457. Prime factorization of 11425 in exponential form is:

11425 = 52 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 11409 and 11425.

LCM(11409,11425) = 31 × 38031 × 52 × 4571
LCM(11409,11425) = 130347825