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What is the Least Common Multiple of 68445 and 68451?

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 68445 and 68451 is 1561709565.

LCM(68445,68451) = 1561709565

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Least Common Multiple of 68445 and 68451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68445 and 68451, than apply into the LCM equation.

GCF(68445,68451) = 3
LCM(68445,68451) = ( 68445 × 68451) / 3
LCM(68445,68451) = 4685128695 / 3
LCM(68445,68451) = 1561709565

Least Common Multiple (LCM) of 68445 and 68451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68445 and 68451. First we will calculate the prime factors of 68445 and 68451.

Prime Factorization of 68445

Prime factors of 68445 are 3, 5, 13. Prime factorization of 68445 in exponential form is:

68445 = 34 × 51 × 132

Prime Factorization of 68451

Prime factors of 68451 are 3, 22817. Prime factorization of 68451 in exponential form is:

68451 = 31 × 228171

Now multiplying the highest exponent prime factors to calculate the LCM of 68445 and 68451.

LCM(68445,68451) = 34 × 51 × 132 × 228171
LCM(68445,68451) = 1561709565