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What is the Least Common Multiple of 10420 and 10425?

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 10420 and 10425 is 21725700.

LCM(10420,10425) = 21725700

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Least Common Multiple of 10420 and 10425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10420 and 10425, than apply into the LCM equation.

GCF(10420,10425) = 5
LCM(10420,10425) = ( 10420 × 10425) / 5
LCM(10420,10425) = 108628500 / 5
LCM(10420,10425) = 21725700

Least Common Multiple (LCM) of 10420 and 10425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10420 and 10425. First we will calculate the prime factors of 10420 and 10425.

Prime Factorization of 10420

Prime factors of 10420 are 2, 5, 521. Prime factorization of 10420 in exponential form is:

10420 = 22 × 51 × 5211

Prime Factorization of 10425

Prime factors of 10425 are 3, 5, 139. Prime factorization of 10425 in exponential form is:

10425 = 31 × 52 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 10420 and 10425.

LCM(10420,10425) = 22 × 52 × 5211 × 31 × 1391
LCM(10420,10425) = 21725700