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What is the Least Common Multiple of 68502 and 68510?

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 68502 and 68510 is 2346536010.

LCM(68502,68510) = 2346536010

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Least Common Multiple of 68502 and 68510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68502 and 68510, than apply into the LCM equation.

GCF(68502,68510) = 2
LCM(68502,68510) = ( 68502 × 68510) / 2
LCM(68502,68510) = 4693072020 / 2
LCM(68502,68510) = 2346536010

Least Common Multiple (LCM) of 68502 and 68510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68502 and 68510. First we will calculate the prime factors of 68502 and 68510.

Prime Factorization of 68502

Prime factors of 68502 are 2, 3, 7, 233. Prime factorization of 68502 in exponential form is:

68502 = 21 × 31 × 72 × 2331

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

Now multiplying the highest exponent prime factors to calculate the LCM of 68502 and 68510.

LCM(68502,68510) = 21 × 31 × 72 × 2331 × 51 × 131 × 171 × 311
LCM(68502,68510) = 2346536010