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What is the Least Common Multiple of 68510 and 68529?

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 68510 and 68529 is 4694921790.

LCM(68510,68529) = 4694921790

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Least Common Multiple of 68510 and 68529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68510 and 68529, than apply into the LCM equation.

GCF(68510,68529) = 1
LCM(68510,68529) = ( 68510 × 68529) / 1
LCM(68510,68529) = 4694921790 / 1
LCM(68510,68529) = 4694921790

Least Common Multiple (LCM) of 68510 and 68529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68510 and 68529. First we will calculate the prime factors of 68510 and 68529.

Prime Factorization of 68510

Prime factors of 68510 are 2, 5, 13, 17, 31. Prime factorization of 68510 in exponential form is:

68510 = 21 × 51 × 131 × 171 × 311

Prime Factorization of 68529

Prime factors of 68529 are 3, 53, 431. Prime factorization of 68529 in exponential form is:

68529 = 31 × 531 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 68510 and 68529.

LCM(68510,68529) = 21 × 51 × 131 × 171 × 311 × 31 × 531 × 4311
LCM(68510,68529) = 4694921790