What is the Least Common Multiple of 95447 and 95466?
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 95447 and 95466 is 9111943302.
LCM(95447,95466) = 9111943302
Least Common Multiple of 95447 and 95466 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95447 and 95466, than apply into the LCM equation.
GCF(95447,95466) = 1
LCM(95447,95466) = ( 95447 × 95466) / 1
LCM(95447,95466) = 9111943302 / 1
LCM(95447,95466) = 9111943302
Least Common Multiple (LCM) of 95447 and 95466 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95447 and 95466. First we will calculate the prime factors of 95447 and 95466.
Prime Factorization of 95447
Prime factors of 95447 are 11, 8677. Prime factorization of 95447 in exponential form is:
95447 = 111 × 86771
Prime Factorization of 95466
Prime factors of 95466 are 2, 3, 7, 2273. Prime factorization of 95466 in exponential form is:
95466 = 21 × 31 × 71 × 22731
Now multiplying the highest exponent prime factors to calculate the LCM of 95447 and 95466.
LCM(95447,95466) = 111 × 86771 × 21 × 31 × 71 × 22731
LCM(95447,95466) = 9111943302
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