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What is the Least Common Multiple of 9506 and 9512?

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 9506 and 9512 is 45210536.

LCM(9506,9512) = 45210536

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Least Common Multiple of 9506 and 9512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9506 and 9512, than apply into the LCM equation.

GCF(9506,9512) = 2
LCM(9506,9512) = ( 9506 × 9512) / 2
LCM(9506,9512) = 90421072 / 2
LCM(9506,9512) = 45210536

Least Common Multiple (LCM) of 9506 and 9512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9506 and 9512. First we will calculate the prime factors of 9506 and 9512.

Prime Factorization of 9506

Prime factors of 9506 are 2, 7, 97. Prime factorization of 9506 in exponential form is:

9506 = 21 × 72 × 971

Prime Factorization of 9512

Prime factors of 9512 are 2, 29, 41. Prime factorization of 9512 in exponential form is:

9512 = 23 × 291 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 9506 and 9512.

LCM(9506,9512) = 23 × 72 × 971 × 291 × 411
LCM(9506,9512) = 45210536