What is the Least Common Multiple of 95497 and 95508?
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 95497 and 95508 is 9120727476.
LCM(95497,95508) = 9120727476
Least Common Multiple of 95497 and 95508 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95497 and 95508, than apply into the LCM equation.
GCF(95497,95508) = 1
LCM(95497,95508) = ( 95497 × 95508) / 1
LCM(95497,95508) = 9120727476 / 1
LCM(95497,95508) = 9120727476
Least Common Multiple (LCM) of 95497 and 95508 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95497 and 95508. First we will calculate the prime factors of 95497 and 95508.
Prime Factorization of 95497
Prime factors of 95497 are 29, 37, 89. Prime factorization of 95497 in exponential form is:
95497 = 291 × 371 × 891
Prime Factorization of 95508
Prime factors of 95508 are 2, 3, 7, 379. Prime factorization of 95508 in exponential form is:
95508 = 22 × 32 × 71 × 3791
Now multiplying the highest exponent prime factors to calculate the LCM of 95497 and 95508.
LCM(95497,95508) = 291 × 371 × 891 × 22 × 32 × 71 × 3791
LCM(95497,95508) = 9120727476
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