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What is the Least Common Multiple of 79343 and 79354?

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 79354 is 572380402.

LCM(79343,79354) = 572380402

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Least Common Multiple of 79343 and 79354 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 79354, than apply into the LCM equation.

GCF(79343,79354) = 11
LCM(79343,79354) = ( 79343 × 79354) / 11
LCM(79343,79354) = 6296184422 / 11
LCM(79343,79354) = 572380402

Least Common Multiple (LCM) of 79343 and 79354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79343 and 79354. First we will calculate the prime factors of 79343 and 79354.

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 79354

Prime factors of 79354 are 2, 11, 3607. Prime factorization of 79354 in exponential form is:

79354 = 21 × 111 × 36071

Now multiplying the highest exponent prime factors to calculate the LCM of 79343 and 79354.

LCM(79343,79354) = 111 × 72131 × 21 × 36071
LCM(79343,79354) = 572380402