What is the Least Common Multiple of 35313 and 35323?
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 35313 and 35323 is 1247361099.
LCM(35313,35323) = 1247361099
Least Common Multiple of 35313 and 35323 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35313 and 35323, than apply into the LCM equation.
GCF(35313,35323) = 1
LCM(35313,35323) = ( 35313 × 35323) / 1
LCM(35313,35323) = 1247361099 / 1
LCM(35313,35323) = 1247361099
Least Common Multiple (LCM) of 35313 and 35323 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 35313 and 35323. First we will calculate the prime factors of 35313 and 35323.
Prime Factorization of 35313
Prime factors of 35313 are 3, 79, 149. Prime factorization of 35313 in exponential form is:
35313 = 31 × 791 × 1491
Prime Factorization of 35323
Prime factors of 35323 are 35323. Prime factorization of 35323 in exponential form is:
35323 = 353231
Now multiplying the highest exponent prime factors to calculate the LCM of 35313 and 35323.
LCM(35313,35323) = 31 × 791 × 1491 × 353231
LCM(35313,35323) = 1247361099
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