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What is the Least Common Multiple of 93691 and 93703?

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 93691 and 93703 is 8779127773.

LCM(93691,93703) = 8779127773

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Least Common Multiple of 93691 and 93703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93691 and 93703, than apply into the LCM equation.

GCF(93691,93703) = 1
LCM(93691,93703) = ( 93691 × 93703) / 1
LCM(93691,93703) = 8779127773 / 1
LCM(93691,93703) = 8779127773

Least Common Multiple (LCM) of 93691 and 93703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93691 and 93703. First we will calculate the prime factors of 93691 and 93703.

Prime Factorization of 93691

Prime factors of 93691 are 13, 7207. Prime factorization of 93691 in exponential form is:

93691 = 131 × 72071

Prime Factorization of 93703

Prime factors of 93703 are 93703. Prime factorization of 93703 in exponential form is:

93703 = 937031

Now multiplying the highest exponent prime factors to calculate the LCM of 93691 and 93703.

LCM(93691,93703) = 131 × 72071 × 937031
LCM(93691,93703) = 8779127773