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What is the Least Common Multiple of 68494 and 68498?

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 68494 and 68498 is 2345851006.

LCM(68494,68498) = 2345851006

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Least Common Multiple of 68494 and 68498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68494 and 68498, than apply into the LCM equation.

GCF(68494,68498) = 2
LCM(68494,68498) = ( 68494 × 68498) / 2
LCM(68494,68498) = 4691702012 / 2
LCM(68494,68498) = 2345851006

Least Common Multiple (LCM) of 68494 and 68498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68494 and 68498. First we will calculate the prime factors of 68494 and 68498.

Prime Factorization of 68494

Prime factors of 68494 are 2, 23, 1489. Prime factorization of 68494 in exponential form is:

68494 = 21 × 231 × 14891

Prime Factorization of 68498

Prime factors of 68498 are 2, 29, 1181. Prime factorization of 68498 in exponential form is:

68498 = 21 × 291 × 11811

Now multiplying the highest exponent prime factors to calculate the LCM of 68494 and 68498.

LCM(68494,68498) = 21 × 231 × 14891 × 291 × 11811
LCM(68494,68498) = 2345851006