What is the Least Common Multiple of 95877 and 95883?
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 95877 and 95883 is 3064324797.
LCM(95877,95883) = 3064324797
Least Common Multiple of 95877 and 95883 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95877 and 95883, than apply into the LCM equation.
GCF(95877,95883) = 3
LCM(95877,95883) = ( 95877 × 95883) / 3
LCM(95877,95883) = 9192974391 / 3
LCM(95877,95883) = 3064324797
Least Common Multiple (LCM) of 95877 and 95883 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95877 and 95883. First we will calculate the prime factors of 95877 and 95883.
Prime Factorization of 95877
Prime factors of 95877 are 3, 53, 67. Prime factorization of 95877 in exponential form is:
95877 = 33 × 531 × 671
Prime Factorization of 95883
Prime factors of 95883 are 3, 31, 1031. Prime factorization of 95883 in exponential form is:
95883 = 31 × 311 × 10311
Now multiplying the highest exponent prime factors to calculate the LCM of 95877 and 95883.
LCM(95877,95883) = 33 × 531 × 671 × 311 × 10311
LCM(95877,95883) = 3064324797
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