What is the Least Common Multiple of 95837 and 95841?
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 95837 and 95841 is 9185113917.
LCM(95837,95841) = 9185113917
Least Common Multiple of 95837 and 95841 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95837 and 95841, than apply into the LCM equation.
GCF(95837,95841) = 1
LCM(95837,95841) = ( 95837 × 95841) / 1
LCM(95837,95841) = 9185113917 / 1
LCM(95837,95841) = 9185113917
Least Common Multiple (LCM) of 95837 and 95841 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95837 and 95841. First we will calculate the prime factors of 95837 and 95841.
Prime Factorization of 95837
Prime factors of 95837 are 7, 13691. Prime factorization of 95837 in exponential form is:
95837 = 71 × 136911
Prime Factorization of 95841
Prime factors of 95841 are 3, 23, 463. Prime factorization of 95841 in exponential form is:
95841 = 32 × 231 × 4631
Now multiplying the highest exponent prime factors to calculate the LCM of 95837 and 95841.
LCM(95837,95841) = 71 × 136911 × 32 × 231 × 4631
LCM(95837,95841) = 9185113917
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