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What is the Least Common Multiple of 93769 and 93783?

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 93769 and 93783 is 8793938127.

LCM(93769,93783) = 8793938127

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Least Common Multiple of 93769 and 93783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93769 and 93783, than apply into the LCM equation.

GCF(93769,93783) = 1
LCM(93769,93783) = ( 93769 × 93783) / 1
LCM(93769,93783) = 8793938127 / 1
LCM(93769,93783) = 8793938127

Least Common Multiple (LCM) of 93769 and 93783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93769 and 93783. First we will calculate the prime factors of 93769 and 93783.

Prime Factorization of 93769

Prime factors of 93769 are 13, 7213. Prime factorization of 93769 in exponential form is:

93769 = 131 × 72131

Prime Factorization of 93783

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

93783 = 31 × 431 × 7271

Now multiplying the highest exponent prime factors to calculate the LCM of 93769 and 93783.

LCM(93769,93783) = 131 × 72131 × 31 × 431 × 7271
LCM(93769,93783) = 8793938127