What is the Least Common Multiple of 95830 and 95836?
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 95830 and 95836 is 4591981940.
LCM(95830,95836) = 4591981940
Least Common Multiple of 95830 and 95836 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95830 and 95836, than apply into the LCM equation.
GCF(95830,95836) = 2
LCM(95830,95836) = ( 95830 × 95836) / 2
LCM(95830,95836) = 9183963880 / 2
LCM(95830,95836) = 4591981940
Least Common Multiple (LCM) of 95830 and 95836 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95830 and 95836. First we will calculate the prime factors of 95830 and 95836.
Prime Factorization of 95830
Prime factors of 95830 are 2, 5, 7, 37. Prime factorization of 95830 in exponential form is:
95830 = 21 × 51 × 71 × 372
Prime Factorization of 95836
Prime factors of 95836 are 2, 13, 19, 97. Prime factorization of 95836 in exponential form is:
95836 = 22 × 131 × 191 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 95830 and 95836.
LCM(95830,95836) = 22 × 51 × 71 × 372 × 131 × 191 × 971
LCM(95830,95836) = 4591981940
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