What is the Least Common Multiple of 95031 and 95039?
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 95031 and 95039 is 9031651209.
LCM(95031,95039) = 9031651209
Least Common Multiple of 95031 and 95039 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95031 and 95039, than apply into the LCM equation.
GCF(95031,95039) = 1
LCM(95031,95039) = ( 95031 × 95039) / 1
LCM(95031,95039) = 9031651209 / 1
LCM(95031,95039) = 9031651209
Least Common Multiple (LCM) of 95031 and 95039 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95031 and 95039. First we will calculate the prime factors of 95031 and 95039.
Prime Factorization of 95031
Prime factors of 95031 are 3, 10559. Prime factorization of 95031 in exponential form is:
95031 = 32 × 105591
Prime Factorization of 95039
Prime factors of 95039 are 7, 13577. Prime factorization of 95039 in exponential form is:
95039 = 71 × 135771
Now multiplying the highest exponent prime factors to calculate the LCM of 95031 and 95039.
LCM(95031,95039) = 32 × 105591 × 71 × 135771
LCM(95031,95039) = 9031651209
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