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What is the Least Common Multiple of 96835 and 96848?

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 96835 and 96848 is 9378276080.

LCM(96835,96848) = 9378276080

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Least Common Multiple of 96835 and 96848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96835 and 96848, than apply into the LCM equation.

GCF(96835,96848) = 1
LCM(96835,96848) = ( 96835 × 96848) / 1
LCM(96835,96848) = 9378276080 / 1
LCM(96835,96848) = 9378276080

Least Common Multiple (LCM) of 96835 and 96848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96835 and 96848. First we will calculate the prime factors of 96835 and 96848.

Prime Factorization of 96835

Prime factors of 96835 are 5, 107, 181. Prime factorization of 96835 in exponential form is:

96835 = 51 × 1071 × 1811

Prime Factorization of 96848

Prime factors of 96848 are 2, 6053. Prime factorization of 96848 in exponential form is:

96848 = 24 × 60531

Now multiplying the highest exponent prime factors to calculate the LCM of 96835 and 96848.

LCM(96835,96848) = 51 × 1071 × 1811 × 24 × 60531
LCM(96835,96848) = 9378276080