What is the Least Common Multiple of 68627 and 68643?
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 68627 and 68643 is 4710763161.
LCM(68627,68643) = 4710763161
Least Common Multiple of 68627 and 68643 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68627 and 68643, than apply into the LCM equation.
GCF(68627,68643) = 1
LCM(68627,68643) = ( 68627 × 68643) / 1
LCM(68627,68643) = 4710763161 / 1
LCM(68627,68643) = 4710763161
Least Common Multiple (LCM) of 68627 and 68643 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68627 and 68643. First we will calculate the prime factors of 68627 and 68643.
Prime Factorization of 68627
Prime factors of 68627 are 13, 5279. Prime factorization of 68627 in exponential form is:
68627 = 131 × 52791
Prime Factorization of 68643
Prime factors of 68643 are 3, 29, 263. Prime factorization of 68643 in exponential form is:
68643 = 32 × 291 × 2631
Now multiplying the highest exponent prime factors to calculate the LCM of 68627 and 68643.
LCM(68627,68643) = 131 × 52791 × 32 × 291 × 2631
LCM(68627,68643) = 4710763161
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