What is the Least Common Multiple of 95813 and 95833?
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 95813 and 95833 is 9182047229.
LCM(95813,95833) = 9182047229
Least Common Multiple of 95813 and 95833 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95813 and 95833, than apply into the LCM equation.
GCF(95813,95833) = 1
LCM(95813,95833) = ( 95813 × 95833) / 1
LCM(95813,95833) = 9182047229 / 1
LCM(95813,95833) = 9182047229
Least Common Multiple (LCM) of 95813 and 95833 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95813 and 95833. First we will calculate the prime factors of 95813 and 95833.
Prime Factorization of 95813
Prime factors of 95813 are 95813. Prime factorization of 95813 in exponential form is:
95813 = 958131
Prime Factorization of 95833
Prime factors of 95833 are 47, 2039. Prime factorization of 95833 in exponential form is:
95833 = 471 × 20391
Now multiplying the highest exponent prime factors to calculate the LCM of 95813 and 95833.
LCM(95813,95833) = 958131 × 471 × 20391
LCM(95813,95833) = 9182047229
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