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What is the Least Common Multiple of 96534 and 96551?

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 96534 and 96551 is 9320454234.

LCM(96534,96551) = 9320454234

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Least Common Multiple of 96534 and 96551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96534 and 96551, than apply into the LCM equation.

GCF(96534,96551) = 1
LCM(96534,96551) = ( 96534 × 96551) / 1
LCM(96534,96551) = 9320454234 / 1
LCM(96534,96551) = 9320454234

Least Common Multiple (LCM) of 96534 and 96551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96534 and 96551. First we will calculate the prime factors of 96534 and 96551.

Prime Factorization of 96534

Prime factors of 96534 are 2, 3, 31, 173. Prime factorization of 96534 in exponential form is:

96534 = 21 × 32 × 311 × 1731

Prime Factorization of 96551

Prime factors of 96551 are 7, 13, 1061. Prime factorization of 96551 in exponential form is:

96551 = 71 × 131 × 10611

Now multiplying the highest exponent prime factors to calculate the LCM of 96534 and 96551.

LCM(96534,96551) = 21 × 32 × 311 × 1731 × 71 × 131 × 10611
LCM(96534,96551) = 9320454234