What is the Least Common Multiple of 95162 and 95167?
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 95162 and 95167 is 9056282054.
LCM(95162,95167) = 9056282054
Least Common Multiple of 95162 and 95167 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95162 and 95167, than apply into the LCM equation.
GCF(95162,95167) = 1
LCM(95162,95167) = ( 95162 × 95167) / 1
LCM(95162,95167) = 9056282054 / 1
LCM(95162,95167) = 9056282054
Least Common Multiple (LCM) of 95162 and 95167 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95162 and 95167. First we will calculate the prime factors of 95162 and 95167.
Prime Factorization of 95162
Prime factors of 95162 are 2, 47581. Prime factorization of 95162 in exponential form is:
95162 = 21 × 475811
Prime Factorization of 95167
Prime factors of 95167 are 59, 1613. Prime factorization of 95167 in exponential form is:
95167 = 591 × 16131
Now multiplying the highest exponent prime factors to calculate the LCM of 95162 and 95167.
LCM(95162,95167) = 21 × 475811 × 591 × 16131
LCM(95162,95167) = 9056282054
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