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What is the Least Common Multiple of 35718 and 35725?

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 35718 and 35725 is 1276025550.

LCM(35718,35725) = 1276025550

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Least Common Multiple of 35718 and 35725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35718 and 35725, than apply into the LCM equation.

GCF(35718,35725) = 1
LCM(35718,35725) = ( 35718 × 35725) / 1
LCM(35718,35725) = 1276025550 / 1
LCM(35718,35725) = 1276025550

Least Common Multiple (LCM) of 35718 and 35725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35718 and 35725. First we will calculate the prime factors of 35718 and 35725.

Prime Factorization of 35718

Prime factors of 35718 are 2, 3, 5953. Prime factorization of 35718 in exponential form is:

35718 = 21 × 31 × 59531

Prime Factorization of 35725

Prime factors of 35725 are 5, 1429. Prime factorization of 35725 in exponential form is:

35725 = 52 × 14291

Now multiplying the highest exponent prime factors to calculate the LCM of 35718 and 35725.

LCM(35718,35725) = 21 × 31 × 59531 × 52 × 14291
LCM(35718,35725) = 1276025550