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What is the Least Common Multiple of 67718 and 67735?

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 67718 and 67735 is 4586878730.

LCM(67718,67735) = 4586878730

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Least Common Multiple of 67718 and 67735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67718 and 67735, than apply into the LCM equation.

GCF(67718,67735) = 1
LCM(67718,67735) = ( 67718 × 67735) / 1
LCM(67718,67735) = 4586878730 / 1
LCM(67718,67735) = 4586878730

Least Common Multiple (LCM) of 67718 and 67735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67718 and 67735. First we will calculate the prime factors of 67718 and 67735.

Prime Factorization of 67718

Prime factors of 67718 are 2, 7, 691. Prime factorization of 67718 in exponential form is:

67718 = 21 × 72 × 6911

Prime Factorization of 67735

Prime factors of 67735 are 5, 19, 23, 31. Prime factorization of 67735 in exponential form is:

67735 = 51 × 191 × 231 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 67718 and 67735.

LCM(67718,67735) = 21 × 72 × 6911 × 51 × 191 × 231 × 311
LCM(67718,67735) = 4586878730