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What is the Least Common Multiple of 68484 and 68501?

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 68484 and 68501 is 4691222484.

LCM(68484,68501) = 4691222484

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Least Common Multiple of 68484 and 68501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68484 and 68501, than apply into the LCM equation.

GCF(68484,68501) = 1
LCM(68484,68501) = ( 68484 × 68501) / 1
LCM(68484,68501) = 4691222484 / 1
LCM(68484,68501) = 4691222484

Least Common Multiple (LCM) of 68484 and 68501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68484 and 68501. First we will calculate the prime factors of 68484 and 68501.

Prime Factorization of 68484

Prime factors of 68484 are 2, 3, 13, 439. Prime factorization of 68484 in exponential form is:

68484 = 22 × 31 × 131 × 4391

Prime Factorization of 68501

Prime factors of 68501 are 68501. Prime factorization of 68501 in exponential form is:

68501 = 685011

Now multiplying the highest exponent prime factors to calculate the LCM of 68484 and 68501.

LCM(68484,68501) = 22 × 31 × 131 × 4391 × 685011
LCM(68484,68501) = 4691222484