What is the Least Common Multiple of 95837 and 95843?
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 95843 is 9185305591.
LCM(95837,95843) = 9185305591
Least Common Multiple of 95837 and 95843 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 95843, than apply into the LCM equation.
GCF(95837,95843) = 1
LCM(95837,95843) = ( 95837 × 95843) / 1
LCM(95837,95843) = 9185305591 / 1
LCM(95837,95843) = 9185305591
Least Common Multiple (LCM) of 95837 and 95843 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95837 and 95843. First we will calculate the prime factors of 95837 and 95843.
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 95843
Prime factors of 95843 are 11, 8713. Prime factorization of 95843 in exponential form is:
95843 = 111 × 87131
Now multiplying the highest exponent prime factors to calculate the LCM of 95837 and 95843.
LCM(95837,95843) = 71 × 136911 × 111 × 87131
LCM(95837,95843) = 9185305591
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