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What is the Least Common Multiple of 9455 and 9475?

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 9455 and 9475 is 17917225.

LCM(9455,9475) = 17917225

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Least Common Multiple of 9455 and 9475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9455 and 9475, than apply into the LCM equation.

GCF(9455,9475) = 5
LCM(9455,9475) = ( 9455 × 9475) / 5
LCM(9455,9475) = 89586125 / 5
LCM(9455,9475) = 17917225

Least Common Multiple (LCM) of 9455 and 9475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9455 and 9475. First we will calculate the prime factors of 9455 and 9475.

Prime Factorization of 9455

Prime factors of 9455 are 5, 31, 61. Prime factorization of 9455 in exponential form is:

9455 = 51 × 311 × 611

Prime Factorization of 9475

Prime factors of 9475 are 5, 379. Prime factorization of 9475 in exponential form is:

9475 = 52 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 9455 and 9475.

LCM(9455,9475) = 52 × 311 × 611 × 3791
LCM(9455,9475) = 17917225