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What is the Least Common Multiple of 93784 and 93803?

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 93784 and 93803 is 463011608.

LCM(93784,93803) = 463011608

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Least Common Multiple of 93784 and 93803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93784 and 93803, than apply into the LCM equation.

GCF(93784,93803) = 19
LCM(93784,93803) = ( 93784 × 93803) / 19
LCM(93784,93803) = 8797220552 / 19
LCM(93784,93803) = 463011608

Least Common Multiple (LCM) of 93784 and 93803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93784 and 93803. First we will calculate the prime factors of 93784 and 93803.

Prime Factorization of 93784

Prime factors of 93784 are 2, 19, 617. Prime factorization of 93784 in exponential form is:

93784 = 23 × 191 × 6171

Prime Factorization of 93803

Prime factors of 93803 are 19, 4937. Prime factorization of 93803 in exponential form is:

93803 = 191 × 49371

Now multiplying the highest exponent prime factors to calculate the LCM of 93784 and 93803.

LCM(93784,93803) = 23 × 191 × 6171 × 49371
LCM(93784,93803) = 463011608