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What is the Least Common Multiple of 68494 and 68505?

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 68505 is 4692181470.

LCM(68494,68505) = 4692181470

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Least Common Multiple of 68494 and 68505 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 68505, than apply into the LCM equation.

GCF(68494,68505) = 1
LCM(68494,68505) = ( 68494 × 68505) / 1
LCM(68494,68505) = 4692181470 / 1
LCM(68494,68505) = 4692181470

Least Common Multiple (LCM) of 68494 and 68505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68494 and 68505. First we will calculate the prime factors of 68494 and 68505.

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 68505

Prime factors of 68505 are 3, 5, 4567. Prime factorization of 68505 in exponential form is:

68505 = 31 × 51 × 45671

Now multiplying the highest exponent prime factors to calculate the LCM of 68494 and 68505.

LCM(68494,68505) = 21 × 231 × 14891 × 31 × 51 × 45671
LCM(68494,68505) = 4692181470