What is the Least Common Multiple of 95127 and 95134?
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 95127 and 95134 is 9049812018.
LCM(95127,95134) = 9049812018
Least Common Multiple of 95127 and 95134 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95127 and 95134, than apply into the LCM equation.
GCF(95127,95134) = 1
LCM(95127,95134) = ( 95127 × 95134) / 1
LCM(95127,95134) = 9049812018 / 1
LCM(95127,95134) = 9049812018
Least Common Multiple (LCM) of 95127 and 95134 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95127 and 95134. First we will calculate the prime factors of 95127 and 95134.
Prime Factorization of 95127
Prime factors of 95127 are 3, 37, 857. Prime factorization of 95127 in exponential form is:
95127 = 31 × 371 × 8571
Prime Factorization of 95134
Prime factors of 95134 are 2, 13, 3659. Prime factorization of 95134 in exponential form is:
95134 = 21 × 131 × 36591
Now multiplying the highest exponent prime factors to calculate the LCM of 95127 and 95134.
LCM(95127,95134) = 31 × 371 × 8571 × 21 × 131 × 36591
LCM(95127,95134) = 9049812018
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