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What is the Least Common Multiple of 18709 and 18725?

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 18709 and 18725 is 350326025.

LCM(18709,18725) = 350326025

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Least Common Multiple of 18709 and 18725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18709 and 18725, than apply into the LCM equation.

GCF(18709,18725) = 1
LCM(18709,18725) = ( 18709 × 18725) / 1
LCM(18709,18725) = 350326025 / 1
LCM(18709,18725) = 350326025

Least Common Multiple (LCM) of 18709 and 18725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18709 and 18725. First we will calculate the prime factors of 18709 and 18725.

Prime Factorization of 18709

Prime factors of 18709 are 53, 353. Prime factorization of 18709 in exponential form is:

18709 = 531 × 3531

Prime Factorization of 18725

Prime factors of 18725 are 5, 7, 107. Prime factorization of 18725 in exponential form is:

18725 = 52 × 71 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 18709 and 18725.

LCM(18709,18725) = 531 × 3531 × 52 × 71 × 1071
LCM(18709,18725) = 350326025