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What is the Least Common Multiple of 68503 and 68511?

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 68503 and 68511 is 4693209033.

LCM(68503,68511) = 4693209033

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Least Common Multiple of 68503 and 68511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68503 and 68511, than apply into the LCM equation.

GCF(68503,68511) = 1
LCM(68503,68511) = ( 68503 × 68511) / 1
LCM(68503,68511) = 4693209033 / 1
LCM(68503,68511) = 4693209033

Least Common Multiple (LCM) of 68503 and 68511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68503 and 68511. First we will calculate the prime factors of 68503 and 68511.

Prime Factorization of 68503

Prime factors of 68503 are 61, 1123. Prime factorization of 68503 in exponential form is:

68503 = 611 × 11231

Prime Factorization of 68511

Prime factors of 68511 are 3, 41, 557. Prime factorization of 68511 in exponential form is:

68511 = 31 × 411 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 68503 and 68511.

LCM(68503,68511) = 611 × 11231 × 31 × 411 × 5571
LCM(68503,68511) = 4693209033