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What is the Least Common Multiple of 68323 and 68336?

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 68323 and 68336 is 4668920528.

LCM(68323,68336) = 4668920528

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Least Common Multiple of 68323 and 68336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68323 and 68336, than apply into the LCM equation.

GCF(68323,68336) = 1
LCM(68323,68336) = ( 68323 × 68336) / 1
LCM(68323,68336) = 4668920528 / 1
LCM(68323,68336) = 4668920528

Least Common Multiple (LCM) of 68323 and 68336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68323 and 68336. First we will calculate the prime factors of 68323 and 68336.

Prime Factorization of 68323

Prime factors of 68323 are 17, 4019. Prime factorization of 68323 in exponential form is:

68323 = 171 × 40191

Prime Factorization of 68336

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

68336 = 24 × 42711

Now multiplying the highest exponent prime factors to calculate the LCM of 68323 and 68336.

LCM(68323,68336) = 171 × 40191 × 24 × 42711
LCM(68323,68336) = 4668920528