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What is the Least Common Multiple of 96133 and 96152?

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 96133 and 96152 is 9243380216.

LCM(96133,96152) = 9243380216

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Least Common Multiple of 96133 and 96152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96133 and 96152, than apply into the LCM equation.

GCF(96133,96152) = 1
LCM(96133,96152) = ( 96133 × 96152) / 1
LCM(96133,96152) = 9243380216 / 1
LCM(96133,96152) = 9243380216

Least Common Multiple (LCM) of 96133 and 96152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96133 and 96152. First we will calculate the prime factors of 96133 and 96152.

Prime Factorization of 96133

Prime factors of 96133 are 251, 383. Prime factorization of 96133 in exponential form is:

96133 = 2511 × 3831

Prime Factorization of 96152

Prime factors of 96152 are 2, 7, 17, 101. Prime factorization of 96152 in exponential form is:

96152 = 23 × 71 × 171 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 96133 and 96152.

LCM(96133,96152) = 2511 × 3831 × 23 × 71 × 171 × 1011
LCM(96133,96152) = 9243380216