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What is the Least Common Multiple of 68506 and 68518?

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 68506 and 68518 is 2346947054.

LCM(68506,68518) = 2346947054

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Least Common Multiple of 68506 and 68518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68506 and 68518, than apply into the LCM equation.

GCF(68506,68518) = 2
LCM(68506,68518) = ( 68506 × 68518) / 2
LCM(68506,68518) = 4693894108 / 2
LCM(68506,68518) = 2346947054

Least Common Multiple (LCM) of 68506 and 68518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68506 and 68518. First we will calculate the prime factors of 68506 and 68518.

Prime Factorization of 68506

Prime factors of 68506 are 2, 34253. Prime factorization of 68506 in exponential form is:

68506 = 21 × 342531

Prime Factorization of 68518

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

68518 = 21 × 342591

Now multiplying the highest exponent prime factors to calculate the LCM of 68506 and 68518.

LCM(68506,68518) = 21 × 342531 × 342591
LCM(68506,68518) = 2346947054