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What is the Least Common Multiple of 68415 and 68434?

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 68415 and 68434 is 4681912110.

LCM(68415,68434) = 4681912110

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Least Common Multiple of 68415 and 68434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68415 and 68434, than apply into the LCM equation.

GCF(68415,68434) = 1
LCM(68415,68434) = ( 68415 × 68434) / 1
LCM(68415,68434) = 4681912110 / 1
LCM(68415,68434) = 4681912110

Least Common Multiple (LCM) of 68415 and 68434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68415 and 68434. First we will calculate the prime factors of 68415 and 68434.

Prime Factorization of 68415

Prime factors of 68415 are 3, 5, 4561. Prime factorization of 68415 in exponential form is:

68415 = 31 × 51 × 45611

Prime Factorization of 68434

Prime factors of 68434 are 2, 34217. Prime factorization of 68434 in exponential form is:

68434 = 21 × 342171

Now multiplying the highest exponent prime factors to calculate the LCM of 68415 and 68434.

LCM(68415,68434) = 31 × 51 × 45611 × 21 × 342171
LCM(68415,68434) = 4681912110