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What is the Least Common Multiple of 68510 and 68523?

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 68523 is 361116210.

LCM(68510,68523) = 361116210

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Least Common Multiple of 68510 and 68523 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 68523, than apply into the LCM equation.

GCF(68510,68523) = 13
LCM(68510,68523) = ( 68510 × 68523) / 13
LCM(68510,68523) = 4694510730 / 13
LCM(68510,68523) = 361116210

Least Common Multiple (LCM) of 68510 and 68523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68510 and 68523. First we will calculate the prime factors of 68510 and 68523.

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 68523

Prime factors of 68523 are 3, 7, 13, 251. Prime factorization of 68523 in exponential form is:

68523 = 31 × 71 × 131 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 68510 and 68523.

LCM(68510,68523) = 21 × 51 × 131 × 171 × 311 × 31 × 71 × 2511
LCM(68510,68523) = 361116210