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What is the Least Common Multiple of 18451 and 18460?

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 18451 and 18460 is 340605460.

LCM(18451,18460) = 340605460

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Least Common Multiple of 18451 and 18460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18451 and 18460, than apply into the LCM equation.

GCF(18451,18460) = 1
LCM(18451,18460) = ( 18451 × 18460) / 1
LCM(18451,18460) = 340605460 / 1
LCM(18451,18460) = 340605460

Least Common Multiple (LCM) of 18451 and 18460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18451 and 18460. First we will calculate the prime factors of 18451 and 18460.

Prime Factorization of 18451

Prime factors of 18451 are 18451. Prime factorization of 18451 in exponential form is:

18451 = 184511

Prime Factorization of 18460

Prime factors of 18460 are 2, 5, 13, 71. Prime factorization of 18460 in exponential form is:

18460 = 22 × 51 × 131 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 18451 and 18460.

LCM(18451,18460) = 184511 × 22 × 51 × 131 × 711
LCM(18451,18460) = 340605460