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What is the Least Common Multiple of 9420 and 9425?

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 9420 and 9425 is 17756700.

LCM(9420,9425) = 17756700

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Least Common Multiple of 9420 and 9425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9420 and 9425, than apply into the LCM equation.

GCF(9420,9425) = 5
LCM(9420,9425) = ( 9420 × 9425) / 5
LCM(9420,9425) = 88783500 / 5
LCM(9420,9425) = 17756700

Least Common Multiple (LCM) of 9420 and 9425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9420 and 9425. First we will calculate the prime factors of 9420 and 9425.

Prime Factorization of 9420

Prime factors of 9420 are 2, 3, 5, 157. Prime factorization of 9420 in exponential form is:

9420 = 22 × 31 × 51 × 1571

Prime Factorization of 9425

Prime factors of 9425 are 5, 13, 29. Prime factorization of 9425 in exponential form is:

9425 = 52 × 131 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 9420 and 9425.

LCM(9420,9425) = 22 × 31 × 52 × 1571 × 131 × 291
LCM(9420,9425) = 17756700