What is the Least Common Multiple of 95036 and 95055?
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 95036 and 95055 is 9033646980.
LCM(95036,95055) = 9033646980
Least Common Multiple of 95036 and 95055 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95036 and 95055, than apply into the LCM equation.
GCF(95036,95055) = 1
LCM(95036,95055) = ( 95036 × 95055) / 1
LCM(95036,95055) = 9033646980 / 1
LCM(95036,95055) = 9033646980
Least Common Multiple (LCM) of 95036 and 95055 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95036 and 95055. First we will calculate the prime factors of 95036 and 95055.
Prime Factorization of 95036
Prime factors of 95036 are 2, 23, 1033. Prime factorization of 95036 in exponential form is:
95036 = 22 × 231 × 10331
Prime Factorization of 95055
Prime factors of 95055 are 3, 5, 6337. Prime factorization of 95055 in exponential form is:
95055 = 31 × 51 × 63371
Now multiplying the highest exponent prime factors to calculate the LCM of 95036 and 95055.
LCM(95036,95055) = 22 × 231 × 10331 × 31 × 51 × 63371
LCM(95036,95055) = 9033646980
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