What is the Least Common Multiple of 68337 and 68345?
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 68337 and 68345 is 4670492265.
LCM(68337,68345) = 4670492265
Least Common Multiple of 68337 and 68345 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68337 and 68345, than apply into the LCM equation.
GCF(68337,68345) = 1
LCM(68337,68345) = ( 68337 × 68345) / 1
LCM(68337,68345) = 4670492265 / 1
LCM(68337,68345) = 4670492265
Least Common Multiple (LCM) of 68337 and 68345 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68337 and 68345. First we will calculate the prime factors of 68337 and 68345.
Prime Factorization of 68337
Prime factors of 68337 are 3, 2531. Prime factorization of 68337 in exponential form is:
68337 = 33 × 25311
Prime Factorization of 68345
Prime factors of 68345 are 5, 13669. Prime factorization of 68345 in exponential form is:
68345 = 51 × 136691
Now multiplying the highest exponent prime factors to calculate the LCM of 68337 and 68345.
LCM(68337,68345) = 33 × 25311 × 51 × 136691
LCM(68337,68345) = 4670492265
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