What is the Least Common Multiple of 35143 and 35153?
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 35143 and 35153 is 1235381879.
LCM(35143,35153) = 1235381879
Least Common Multiple of 35143 and 35153 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35143 and 35153, than apply into the LCM equation.
GCF(35143,35153) = 1
LCM(35143,35153) = ( 35143 × 35153) / 1
LCM(35143,35153) = 1235381879 / 1
LCM(35143,35153) = 1235381879
Least Common Multiple (LCM) of 35143 and 35153 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 35143 and 35153. First we will calculate the prime factors of 35143 and 35153.
Prime Factorization of 35143
Prime factors of 35143 are 113, 311. Prime factorization of 35143 in exponential form is:
35143 = 1131 × 3111
Prime Factorization of 35153
Prime factors of 35153 are 35153. Prime factorization of 35153 in exponential form is:
35153 = 351531
Now multiplying the highest exponent prime factors to calculate the LCM of 35143 and 35153.
LCM(35143,35153) = 1131 × 3111 × 351531
LCM(35143,35153) = 1235381879
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