What is the Least Common Multiple of 95303 and 95322?
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 95303 and 95322 is 9084472566.
LCM(95303,95322) = 9084472566
Least Common Multiple of 95303 and 95322 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95303 and 95322, than apply into the LCM equation.
GCF(95303,95322) = 1
LCM(95303,95322) = ( 95303 × 95322) / 1
LCM(95303,95322) = 9084472566 / 1
LCM(95303,95322) = 9084472566
Least Common Multiple (LCM) of 95303 and 95322 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95303 and 95322. First we will calculate the prime factors of 95303 and 95322.
Prime Factorization of 95303
Prime factors of 95303 are 13, 7331. Prime factorization of 95303 in exponential form is:
95303 = 131 × 73311
Prime Factorization of 95322
Prime factors of 95322 are 2, 3, 15887. Prime factorization of 95322 in exponential form is:
95322 = 21 × 31 × 158871
Now multiplying the highest exponent prime factors to calculate the LCM of 95303 and 95322.
LCM(95303,95322) = 131 × 73311 × 21 × 31 × 158871
LCM(95303,95322) = 9084472566
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