What is the Least Common Multiple of 95453 and 95459?
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 95453 and 95459 is 9111847927.
LCM(95453,95459) = 9111847927
Least Common Multiple of 95453 and 95459 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95453 and 95459, than apply into the LCM equation.
GCF(95453,95459) = 1
LCM(95453,95459) = ( 95453 × 95459) / 1
LCM(95453,95459) = 9111847927 / 1
LCM(95453,95459) = 9111847927
Least Common Multiple (LCM) of 95453 and 95459 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95453 and 95459. First we will calculate the prime factors of 95453 and 95459.
Prime Factorization of 95453
Prime factors of 95453 are 53, 1801. Prime factorization of 95453 in exponential form is:
95453 = 531 × 18011
Prime Factorization of 95459
Prime factors of 95459 are 7, 13, 1049. Prime factorization of 95459 in exponential form is:
95459 = 71 × 131 × 10491
Now multiplying the highest exponent prime factors to calculate the LCM of 95453 and 95459.
LCM(95453,95459) = 531 × 18011 × 71 × 131 × 10491
LCM(95453,95459) = 9111847927
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