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What is the Least Common Multiple of 68336 and 68347?

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 68336 and 68347 is 4670560592.

LCM(68336,68347) = 4670560592

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Least Common Multiple of 68336 and 68347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68336 and 68347, than apply into the LCM equation.

GCF(68336,68347) = 1
LCM(68336,68347) = ( 68336 × 68347) / 1
LCM(68336,68347) = 4670560592 / 1
LCM(68336,68347) = 4670560592

Least Common Multiple (LCM) of 68336 and 68347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68336 and 68347. First we will calculate the prime factors of 68336 and 68347.

Prime Factorization of 68336

Prime factors of 68336 are 2, 4271. Prime factorization of 68336 in exponential form is:

68336 = 24 × 42711

Prime Factorization of 68347

Prime factors of 68347 are 41, 1667. Prime factorization of 68347 in exponential form is:

68347 = 411 × 16671

Now multiplying the highest exponent prime factors to calculate the LCM of 68336 and 68347.

LCM(68336,68347) = 24 × 42711 × 411 × 16671
LCM(68336,68347) = 4670560592