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What is the Least Common Multiple of 9531 and 9538?

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 9531 and 9538 is 90906678.

LCM(9531,9538) = 90906678

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Least Common Multiple of 9531 and 9538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9531 and 9538, than apply into the LCM equation.

GCF(9531,9538) = 1
LCM(9531,9538) = ( 9531 × 9538) / 1
LCM(9531,9538) = 90906678 / 1
LCM(9531,9538) = 90906678

Least Common Multiple (LCM) of 9531 and 9538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9531 and 9538. First we will calculate the prime factors of 9531 and 9538.

Prime Factorization of 9531

Prime factors of 9531 are 3, 353. Prime factorization of 9531 in exponential form is:

9531 = 33 × 3531

Prime Factorization of 9538

Prime factors of 9538 are 2, 19, 251. Prime factorization of 9538 in exponential form is:

9538 = 21 × 191 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 9531 and 9538.

LCM(9531,9538) = 33 × 3531 × 21 × 191 × 2511
LCM(9531,9538) = 90906678