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What is the Least Common Multiple of 91796 and 91803?

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 91796 and 91803 is 8427148188.

LCM(91796,91803) = 8427148188

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Least Common Multiple of 91796 and 91803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91796 and 91803, than apply into the LCM equation.

GCF(91796,91803) = 1
LCM(91796,91803) = ( 91796 × 91803) / 1
LCM(91796,91803) = 8427148188 / 1
LCM(91796,91803) = 8427148188

Least Common Multiple (LCM) of 91796 and 91803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91796 and 91803. First we will calculate the prime factors of 91796 and 91803.

Prime Factorization of 91796

Prime factors of 91796 are 2, 53, 433. Prime factorization of 91796 in exponential form is:

91796 = 22 × 531 × 4331

Prime Factorization of 91803

Prime factors of 91803 are 3, 71, 431. Prime factorization of 91803 in exponential form is:

91803 = 31 × 711 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 91796 and 91803.

LCM(91796,91803) = 22 × 531 × 4331 × 31 × 711 × 4311
LCM(91796,91803) = 8427148188