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What is the Least Common Multiple of 9455 and 9467?

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 9467 is 89510485.

LCM(9455,9467) = 89510485

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Least Common Multiple of 9455 and 9467 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 9467, than apply into the LCM equation.

GCF(9455,9467) = 1
LCM(9455,9467) = ( 9455 × 9467) / 1
LCM(9455,9467) = 89510485 / 1
LCM(9455,9467) = 89510485

Least Common Multiple (LCM) of 9455 and 9467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9455 and 9467. First we will calculate the prime factors of 9455 and 9467.

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 9467

Prime factors of 9467 are 9467. Prime factorization of 9467 in exponential form is:

9467 = 94671

Now multiplying the highest exponent prime factors to calculate the LCM of 9455 and 9467.

LCM(9455,9467) = 51 × 311 × 611 × 94671
LCM(9455,9467) = 89510485