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What is the Least Common Multiple of 93783 and 93798?

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 93783 and 93798 is 2932219278.

LCM(93783,93798) = 2932219278

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Least Common Multiple of 93783 and 93798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93783 and 93798, than apply into the LCM equation.

GCF(93783,93798) = 3
LCM(93783,93798) = ( 93783 × 93798) / 3
LCM(93783,93798) = 8796657834 / 3
LCM(93783,93798) = 2932219278

Least Common Multiple (LCM) of 93783 and 93798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93783 and 93798. First we will calculate the prime factors of 93783 and 93798.

Prime Factorization of 93783

Prime factors of 93783 are 3, 43, 727. Prime factorization of 93783 in exponential form is:

93783 = 31 × 431 × 7271

Prime Factorization of 93798

Prime factors of 93798 are 2, 3, 193. Prime factorization of 93798 in exponential form is:

93798 = 21 × 35 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 93783 and 93798.

LCM(93783,93798) = 35 × 431 × 7271 × 21 × 1931
LCM(93783,93798) = 2932219278