What is the Least Common Multiple of 95511 and 95515?
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 95515 is 9122733165.
LCM(95511,95515) = 9122733165
Least Common Multiple of 95511 and 95515 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 95515, than apply into the LCM equation.
GCF(95511,95515) = 1
LCM(95511,95515) = ( 95511 × 95515) / 1
LCM(95511,95515) = 9122733165 / 1
LCM(95511,95515) = 9122733165
Least Common Multiple (LCM) of 95511 and 95515 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95511 and 95515. First we will calculate the prime factors of 95511 and 95515.
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 95515
Prime factors of 95515 are 5, 7, 2729. Prime factorization of 95515 in exponential form is:
95515 = 51 × 71 × 27291
Now multiplying the highest exponent prime factors to calculate the LCM of 95511 and 95515.
LCM(95511,95515) = 31 × 131 × 311 × 791 × 51 × 71 × 27291
LCM(95511,95515) = 9122733165
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