What is the Least Common Multiple of 95437 and 95442?
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 95437 and 95442 is 9108698154.
LCM(95437,95442) = 9108698154
Least Common Multiple of 95437 and 95442 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95437 and 95442, than apply into the LCM equation.
GCF(95437,95442) = 1
LCM(95437,95442) = ( 95437 × 95442) / 1
LCM(95437,95442) = 9108698154 / 1
LCM(95437,95442) = 9108698154
Least Common Multiple (LCM) of 95437 and 95442 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95437 and 95442. First we will calculate the prime factors of 95437 and 95442.
Prime Factorization of 95437
Prime factors of 95437 are 19, 5023. Prime factorization of 95437 in exponential form is:
95437 = 191 × 50231
Prime Factorization of 95442
Prime factors of 95442 are 2, 3, 15907. Prime factorization of 95442 in exponential form is:
95442 = 21 × 31 × 159071
Now multiplying the highest exponent prime factors to calculate the LCM of 95437 and 95442.
LCM(95437,95442) = 191 × 50231 × 21 × 31 × 159071
LCM(95437,95442) = 9108698154
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