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What is the Least Common Multiple of 68658 and 68663?

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 68658 and 68663 is 4714264254.

LCM(68658,68663) = 4714264254

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Least Common Multiple of 68658 and 68663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68658 and 68663, than apply into the LCM equation.

GCF(68658,68663) = 1
LCM(68658,68663) = ( 68658 × 68663) / 1
LCM(68658,68663) = 4714264254 / 1
LCM(68658,68663) = 4714264254

Least Common Multiple (LCM) of 68658 and 68663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68658 and 68663. First we will calculate the prime factors of 68658 and 68663.

Prime Factorization of 68658

Prime factors of 68658 are 2, 3, 11443. Prime factorization of 68658 in exponential form is:

68658 = 21 × 31 × 114431

Prime Factorization of 68663

Prime factors of 68663 are 7, 17, 577. Prime factorization of 68663 in exponential form is:

68663 = 71 × 171 × 5771

Now multiplying the highest exponent prime factors to calculate the LCM of 68658 and 68663.

LCM(68658,68663) = 21 × 31 × 114431 × 71 × 171 × 5771
LCM(68658,68663) = 4714264254