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What is the Least Common Multiple of 93709 and 93722?

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 93709 and 93722 is 8782594898.

LCM(93709,93722) = 8782594898

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Least Common Multiple of 93709 and 93722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93709 and 93722, than apply into the LCM equation.

GCF(93709,93722) = 1
LCM(93709,93722) = ( 93709 × 93722) / 1
LCM(93709,93722) = 8782594898 / 1
LCM(93709,93722) = 8782594898

Least Common Multiple (LCM) of 93709 and 93722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93709 and 93722. First we will calculate the prime factors of 93709 and 93722.

Prime Factorization of 93709

Prime factors of 93709 are 7, 11, 1217. Prime factorization of 93709 in exponential form is:

93709 = 71 × 111 × 12171

Prime Factorization of 93722

Prime factors of 93722 are 2, 46861. Prime factorization of 93722 in exponential form is:

93722 = 21 × 468611

Now multiplying the highest exponent prime factors to calculate the LCM of 93709 and 93722.

LCM(93709,93722) = 71 × 111 × 12171 × 21 × 468611
LCM(93709,93722) = 8782594898