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What is the Least Common Multiple of 79343 and 79352?

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 79343 and 79352 is 6296025736.

LCM(79343,79352) = 6296025736

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Least Common Multiple of 79343 and 79352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79343 and 79352, than apply into the LCM equation.

GCF(79343,79352) = 1
LCM(79343,79352) = ( 79343 × 79352) / 1
LCM(79343,79352) = 6296025736 / 1
LCM(79343,79352) = 6296025736

Least Common Multiple (LCM) of 79343 and 79352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79343 and 79352. First we will calculate the prime factors of 79343 and 79352.

Prime Factorization of 79343

Prime factors of 79343 are 11, 7213. Prime factorization of 79343 in exponential form is:

79343 = 111 × 72131

Prime Factorization of 79352

Prime factors of 79352 are 2, 7, 13, 109. Prime factorization of 79352 in exponential form is:

79352 = 23 × 71 × 131 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 79343 and 79352.

LCM(79343,79352) = 111 × 72131 × 23 × 71 × 131 × 1091
LCM(79343,79352) = 6296025736