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What is the Least Common Multiple of 79310 and 79326?

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 79310 and 79326 is 3145672530.

LCM(79310,79326) = 3145672530

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Least Common Multiple of 79310 and 79326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79310 and 79326, than apply into the LCM equation.

GCF(79310,79326) = 2
LCM(79310,79326) = ( 79310 × 79326) / 2
LCM(79310,79326) = 6291345060 / 2
LCM(79310,79326) = 3145672530

Least Common Multiple (LCM) of 79310 and 79326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79310 and 79326. First we will calculate the prime factors of 79310 and 79326.

Prime Factorization of 79310

Prime factors of 79310 are 2, 5, 7, 11, 103. Prime factorization of 79310 in exponential form is:

79310 = 21 × 51 × 71 × 111 × 1031

Prime Factorization of 79326

Prime factors of 79326 are 2, 3, 13, 113. Prime factorization of 79326 in exponential form is:

79326 = 21 × 33 × 131 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 79310 and 79326.

LCM(79310,79326) = 21 × 51 × 71 × 111 × 1031 × 33 × 131 × 1131
LCM(79310,79326) = 3145672530