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What is the Least Common Multiple of 68518 and 68532?

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 68518 and 68532 is 2347837788.

LCM(68518,68532) = 2347837788

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Least Common Multiple of 68518 and 68532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68518 and 68532, than apply into the LCM equation.

GCF(68518,68532) = 2
LCM(68518,68532) = ( 68518 × 68532) / 2
LCM(68518,68532) = 4695675576 / 2
LCM(68518,68532) = 2347837788

Least Common Multiple (LCM) of 68518 and 68532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68518 and 68532. First we will calculate the prime factors of 68518 and 68532.

Prime Factorization of 68518

Prime factors of 68518 are 2, 34259. Prime factorization of 68518 in exponential form is:

68518 = 21 × 342591

Prime Factorization of 68532

Prime factors of 68532 are 2, 3, 5711. Prime factorization of 68532 in exponential form is:

68532 = 22 × 31 × 57111

Now multiplying the highest exponent prime factors to calculate the LCM of 68518 and 68532.

LCM(68518,68532) = 22 × 342591 × 31 × 57111
LCM(68518,68532) = 2347837788