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What is the Least Common Multiple of 79333 and 79342?

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 79333 and 79342 is 6294438886.

LCM(79333,79342) = 6294438886

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Least Common Multiple of 79333 and 79342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79333 and 79342, than apply into the LCM equation.

GCF(79333,79342) = 1
LCM(79333,79342) = ( 79333 × 79342) / 1
LCM(79333,79342) = 6294438886 / 1
LCM(79333,79342) = 6294438886

Least Common Multiple (LCM) of 79333 and 79342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79333 and 79342. First we will calculate the prime factors of 79333 and 79342.

Prime Factorization of 79333

Prime factors of 79333 are 79333. Prime factorization of 79333 in exponential form is:

79333 = 793331

Prime Factorization of 79342

Prime factors of 79342 are 2, 39671. Prime factorization of 79342 in exponential form is:

79342 = 21 × 396711

Now multiplying the highest exponent prime factors to calculate the LCM of 79333 and 79342.

LCM(79333,79342) = 793331 × 21 × 396711
LCM(79333,79342) = 6294438886