What is the Least Common Multiple of 95166 and 95170?
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 95166 and 95170 is 4528474110.
LCM(95166,95170) = 4528474110
Least Common Multiple of 95166 and 95170 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95166 and 95170, than apply into the LCM equation.
GCF(95166,95170) = 2
LCM(95166,95170) = ( 95166 × 95170) / 2
LCM(95166,95170) = 9056948220 / 2
LCM(95166,95170) = 4528474110
Least Common Multiple (LCM) of 95166 and 95170 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95166 and 95170. First we will calculate the prime factors of 95166 and 95170.
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
Prime Factorization of 95170
Prime factors of 95170 are 2, 5, 31, 307. Prime factorization of 95170 in exponential form is:
95170 = 21 × 51 × 311 × 3071
Now multiplying the highest exponent prime factors to calculate the LCM of 95166 and 95170.
LCM(95166,95170) = 21 × 32 × 171 × 3111 × 51 × 311 × 3071
LCM(95166,95170) = 4528474110
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