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What is the Least Common Multiple of 9536 and 9546?

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 9536 and 9546 is 45515328.

LCM(9536,9546) = 45515328

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Least Common Multiple of 9536 and 9546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9536 and 9546, than apply into the LCM equation.

GCF(9536,9546) = 2
LCM(9536,9546) = ( 9536 × 9546) / 2
LCM(9536,9546) = 91030656 / 2
LCM(9536,9546) = 45515328

Least Common Multiple (LCM) of 9536 and 9546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9536 and 9546. First we will calculate the prime factors of 9536 and 9546.

Prime Factorization of 9536

Prime factors of 9536 are 2, 149. Prime factorization of 9536 in exponential form is:

9536 = 26 × 1491

Prime Factorization of 9546

Prime factors of 9546 are 2, 3, 37, 43. Prime factorization of 9546 in exponential form is:

9546 = 21 × 31 × 371 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 9536 and 9546.

LCM(9536,9546) = 26 × 1491 × 31 × 371 × 431
LCM(9536,9546) = 45515328