What is the Least Common Multiple of 95161 and 95166?
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 95161 and 95166 is 9056091726.
LCM(95161,95166) = 9056091726
Least Common Multiple of 95161 and 95166 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95161 and 95166, than apply into the LCM equation.
GCF(95161,95166) = 1
LCM(95161,95166) = ( 95161 × 95166) / 1
LCM(95161,95166) = 9056091726 / 1
LCM(95161,95166) = 9056091726
Least Common Multiple (LCM) of 95161 and 95166 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95161 and 95166. First we will calculate the prime factors of 95161 and 95166.
Prime Factorization of 95161
Prime factors of 95161 are 11, 41, 211. Prime factorization of 95161 in exponential form is:
95161 = 111 × 411 × 2111
Prime Factorization of 95166
Prime factors of 95166 are 2, 3, 17, 311. Prime factorization of 95166 in exponential form is:
95166 = 21 × 32 × 171 × 3111
Now multiplying the highest exponent prime factors to calculate the LCM of 95161 and 95166.
LCM(95161,95166) = 111 × 411 × 2111 × 21 × 32 × 171 × 3111
LCM(95161,95166) = 9056091726
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