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What is the Least Common Multiple of 6709 and 6725?

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 6709 and 6725 is 45118025.

LCM(6709,6725) = 45118025

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Least Common Multiple of 6709 and 6725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6709 and 6725, than apply into the LCM equation.

GCF(6709,6725) = 1
LCM(6709,6725) = ( 6709 × 6725) / 1
LCM(6709,6725) = 45118025 / 1
LCM(6709,6725) = 45118025

Least Common Multiple (LCM) of 6709 and 6725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6709 and 6725. First we will calculate the prime factors of 6709 and 6725.

Prime Factorization of 6709

Prime factors of 6709 are 6709. Prime factorization of 6709 in exponential form is:

6709 = 67091

Prime Factorization of 6725

Prime factors of 6725 are 5, 269. Prime factorization of 6725 in exponential form is:

6725 = 52 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 6709 and 6725.

LCM(6709,6725) = 67091 × 52 × 2691
LCM(6709,6725) = 45118025