What is the Least Common Multiple of 71157 and 71162?
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 71157 and 71162 is 5063674434.
LCM(71157,71162) = 5063674434
Least Common Multiple of 71157 and 71162 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71157 and 71162, than apply into the LCM equation.
GCF(71157,71162) = 1
LCM(71157,71162) = ( 71157 × 71162) / 1
LCM(71157,71162) = 5063674434 / 1
LCM(71157,71162) = 5063674434
Least Common Multiple (LCM) of 71157 and 71162 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 71157 and 71162. First we will calculate the prime factors of 71157 and 71162.
Prime Factorization of 71157
Prime factors of 71157 are 3, 23719. Prime factorization of 71157 in exponential form is:
71157 = 31 × 237191
Prime Factorization of 71162
Prime factors of 71162 are 2, 7, 13, 17, 23. Prime factorization of 71162 in exponential form is:
71162 = 21 × 71 × 131 × 171 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 71157 and 71162.
LCM(71157,71162) = 31 × 237191 × 21 × 71 × 131 × 171 × 231
LCM(71157,71162) = 5063674434
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