What is the Least Common Multiple of 95437 and 95444?
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 95444 is 9108889028.
LCM(95437,95444) = 9108889028
Least Common Multiple of 95437 and 95444 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 95444, than apply into the LCM equation.
GCF(95437,95444) = 1
LCM(95437,95444) = ( 95437 × 95444) / 1
LCM(95437,95444) = 9108889028 / 1
LCM(95437,95444) = 9108889028
Least Common Multiple (LCM) of 95437 and 95444 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95437 and 95444. First we will calculate the prime factors of 95437 and 95444.
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 95444
Prime factors of 95444 are 2, 107, 223. Prime factorization of 95444 in exponential form is:
95444 = 22 × 1071 × 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 95437 and 95444.
LCM(95437,95444) = 191 × 50231 × 22 × 1071 × 2231
LCM(95437,95444) = 9108889028
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