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What is the Least Common Multiple of 68468 and 68483?

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 68468 and 68483 is 4688894044.

LCM(68468,68483) = 4688894044

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Least Common Multiple of 68468 and 68483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68468 and 68483, than apply into the LCM equation.

GCF(68468,68483) = 1
LCM(68468,68483) = ( 68468 × 68483) / 1
LCM(68468,68483) = 4688894044 / 1
LCM(68468,68483) = 4688894044

Least Common Multiple (LCM) of 68468 and 68483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68468 and 68483. First we will calculate the prime factors of 68468 and 68483.

Prime Factorization of 68468

Prime factors of 68468 are 2, 17117. Prime factorization of 68468 in exponential form is:

68468 = 22 × 171171

Prime Factorization of 68483

Prime factors of 68483 are 68483. Prime factorization of 68483 in exponential form is:

68483 = 684831

Now multiplying the highest exponent prime factors to calculate the LCM of 68468 and 68483.

LCM(68468,68483) = 22 × 171171 × 684831
LCM(68468,68483) = 4688894044