What is the Least Common Multiple of 95041 and 95046?
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 95041 and 95046 is 9033266886.
LCM(95041,95046) = 9033266886
Least Common Multiple of 95041 and 95046 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95041 and 95046, than apply into the LCM equation.
GCF(95041,95046) = 1
LCM(95041,95046) = ( 95041 × 95046) / 1
LCM(95041,95046) = 9033266886 / 1
LCM(95041,95046) = 9033266886
Least Common Multiple (LCM) of 95041 and 95046 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95041 and 95046. First we will calculate the prime factors of 95041 and 95046.
Prime Factorization of 95041
Prime factors of 95041 are 101, 941. Prime factorization of 95041 in exponential form is:
95041 = 1011 × 9411
Prime Factorization of 95046
Prime factors of 95046 are 2, 3, 7, 31, 73. Prime factorization of 95046 in exponential form is:
95046 = 21 × 31 × 71 × 311 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 95041 and 95046.
LCM(95041,95046) = 1011 × 9411 × 21 × 31 × 71 × 311 × 731
LCM(95041,95046) = 9033266886
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