What is the Least Common Multiple of 95511 and 95521?
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 95511 and 95521 is 9123306231.
LCM(95511,95521) = 9123306231
Least Common Multiple of 95511 and 95521 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95511 and 95521, than apply into the LCM equation.
GCF(95511,95521) = 1
LCM(95511,95521) = ( 95511 × 95521) / 1
LCM(95511,95521) = 9123306231 / 1
LCM(95511,95521) = 9123306231
Least Common Multiple (LCM) of 95511 and 95521 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95511 and 95521. First we will calculate the prime factors of 95511 and 95521.
Prime Factorization of 95511
Prime factors of 95511 are 3, 13, 31, 79. Prime factorization of 95511 in exponential form is:
95511 = 31 × 131 × 311 × 791
Prime Factorization of 95521
Prime factors of 95521 are 59, 1619. Prime factorization of 95521 in exponential form is:
95521 = 591 × 16191
Now multiplying the highest exponent prime factors to calculate the LCM of 95511 and 95521.
LCM(95511,95521) = 31 × 131 × 311 × 791 × 591 × 16191
LCM(95511,95521) = 9123306231
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