What is the Least Common Multiple of 13151 and 13162?
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 13151 and 13162 is 173093462.
LCM(13151,13162) = 173093462
Least Common Multiple of 13151 and 13162 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13151 and 13162, than apply into the LCM equation.
GCF(13151,13162) = 1
LCM(13151,13162) = ( 13151 × 13162) / 1
LCM(13151,13162) = 173093462 / 1
LCM(13151,13162) = 173093462
Least Common Multiple (LCM) of 13151 and 13162 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13151 and 13162. First we will calculate the prime factors of 13151 and 13162.
Prime Factorization of 13151
Prime factors of 13151 are 13151. Prime factorization of 13151 in exponential form is:
13151 = 131511
Prime Factorization of 13162
Prime factors of 13162 are 2, 6581. Prime factorization of 13162 in exponential form is:
13162 = 21 × 65811
Now multiplying the highest exponent prime factors to calculate the LCM of 13151 and 13162.
LCM(13151,13162) = 131511 × 21 × 65811
LCM(13151,13162) = 173093462
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