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What is the Least Common Multiple of 68815 and 68832?

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 68815 and 68832 is 4736674080.

LCM(68815,68832) = 4736674080

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Least Common Multiple of 68815 and 68832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68815 and 68832, than apply into the LCM equation.

GCF(68815,68832) = 1
LCM(68815,68832) = ( 68815 × 68832) / 1
LCM(68815,68832) = 4736674080 / 1
LCM(68815,68832) = 4736674080

Least Common Multiple (LCM) of 68815 and 68832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68815 and 68832. First we will calculate the prime factors of 68815 and 68832.

Prime Factorization of 68815

Prime factors of 68815 are 5, 13763. Prime factorization of 68815 in exponential form is:

68815 = 51 × 137631

Prime Factorization of 68832

Prime factors of 68832 are 2, 3, 239. Prime factorization of 68832 in exponential form is:

68832 = 25 × 32 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 68815 and 68832.

LCM(68815,68832) = 51 × 137631 × 25 × 32 × 2391
LCM(68815,68832) = 4736674080