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What is the Least Common Multiple of 93673 and 93692?

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 93673 and 93692 is 8776410716.

LCM(93673,93692) = 8776410716

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Least Common Multiple of 93673 and 93692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93673 and 93692, than apply into the LCM equation.

GCF(93673,93692) = 1
LCM(93673,93692) = ( 93673 × 93692) / 1
LCM(93673,93692) = 8776410716 / 1
LCM(93673,93692) = 8776410716

Least Common Multiple (LCM) of 93673 and 93692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93673 and 93692. First we will calculate the prime factors of 93673 and 93692.

Prime Factorization of 93673

Prime factors of 93673 are 283, 331. Prime factorization of 93673 in exponential form is:

93673 = 2831 × 3311

Prime Factorization of 93692

Prime factors of 93692 are 2, 59, 397. Prime factorization of 93692 in exponential form is:

93692 = 22 × 591 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 93673 and 93692.

LCM(93673,93692) = 2831 × 3311 × 22 × 591 × 3971
LCM(93673,93692) = 8776410716