What is the Least Common Multiple of 95023 and 95037?
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 95023 and 95037 is 9030700851.
LCM(95023,95037) = 9030700851
Least Common Multiple of 95023 and 95037 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95023 and 95037, than apply into the LCM equation.
GCF(95023,95037) = 1
LCM(95023,95037) = ( 95023 × 95037) / 1
LCM(95023,95037) = 9030700851 / 1
LCM(95023,95037) = 9030700851
Least Common Multiple (LCM) of 95023 and 95037 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95023 and 95037. First we will calculate the prime factors of 95023 and 95037.
Prime Factorization of 95023
Prime factors of 95023 are 167, 569. Prime factorization of 95023 in exponential form is:
95023 = 1671 × 5691
Prime Factorization of 95037
Prime factors of 95037 are 3, 79, 401. Prime factorization of 95037 in exponential form is:
95037 = 31 × 791 × 4011
Now multiplying the highest exponent prime factors to calculate the LCM of 95023 and 95037.
LCM(95023,95037) = 1671 × 5691 × 31 × 791 × 4011
LCM(95023,95037) = 9030700851
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