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What is the Least Common Multiple of 68435 and 68441?

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 68435 and 68441 is 4683759835.

LCM(68435,68441) = 4683759835

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Least Common Multiple of 68435 and 68441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68435 and 68441, than apply into the LCM equation.

GCF(68435,68441) = 1
LCM(68435,68441) = ( 68435 × 68441) / 1
LCM(68435,68441) = 4683759835 / 1
LCM(68435,68441) = 4683759835

Least Common Multiple (LCM) of 68435 and 68441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68435 and 68441. First we will calculate the prime factors of 68435 and 68441.

Prime Factorization of 68435

Prime factors of 68435 are 5, 13687. Prime factorization of 68435 in exponential form is:

68435 = 51 × 136871

Prime Factorization of 68441

Prime factors of 68441 are 89, 769. Prime factorization of 68441 in exponential form is:

68441 = 891 × 7691

Now multiplying the highest exponent prime factors to calculate the LCM of 68435 and 68441.

LCM(68435,68441) = 51 × 136871 × 891 × 7691
LCM(68435,68441) = 4683759835