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What is the Least Common Multiple of 68705 and 68714?

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 68705 and 68714 is 4720995370.

LCM(68705,68714) = 4720995370

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Least Common Multiple of 68705 and 68714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68705 and 68714, than apply into the LCM equation.

GCF(68705,68714) = 1
LCM(68705,68714) = ( 68705 × 68714) / 1
LCM(68705,68714) = 4720995370 / 1
LCM(68705,68714) = 4720995370

Least Common Multiple (LCM) of 68705 and 68714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68705 and 68714. First we will calculate the prime factors of 68705 and 68714.

Prime Factorization of 68705

Prime factors of 68705 are 5, 7, 13, 151. Prime factorization of 68705 in exponential form is:

68705 = 51 × 71 × 131 × 1511

Prime Factorization of 68714

Prime factors of 68714 are 2, 17, 43, 47. Prime factorization of 68714 in exponential form is:

68714 = 21 × 171 × 431 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 68705 and 68714.

LCM(68705,68714) = 51 × 71 × 131 × 1511 × 21 × 171 × 431 × 471
LCM(68705,68714) = 4720995370