What is the Least Common Multiple of 10156 and 10161?
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 10156 and 10161 is 103195116.
LCM(10156,10161) = 103195116
Least Common Multiple of 10156 and 10161 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10156 and 10161, than apply into the LCM equation.
GCF(10156,10161) = 1
LCM(10156,10161) = ( 10156 × 10161) / 1
LCM(10156,10161) = 103195116 / 1
LCM(10156,10161) = 103195116
Least Common Multiple (LCM) of 10156 and 10161 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10156 and 10161. First we will calculate the prime factors of 10156 and 10161.
Prime Factorization of 10156
Prime factors of 10156 are 2, 2539. Prime factorization of 10156 in exponential form is:
10156 = 22 × 25391
Prime Factorization of 10161
Prime factors of 10161 are 3, 1129. Prime factorization of 10161 in exponential form is:
10161 = 32 × 11291
Now multiplying the highest exponent prime factors to calculate the LCM of 10156 and 10161.
LCM(10156,10161) = 22 × 25391 × 32 × 11291
LCM(10156,10161) = 103195116
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