What is the Least Common Multiple of 96856 and 96861?
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 96856 and 96861 is 9381569016.
LCM(96856,96861) = 9381569016
Least Common Multiple of 96856 and 96861 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96856 and 96861, than apply into the LCM equation.
GCF(96856,96861) = 1
LCM(96856,96861) = ( 96856 × 96861) / 1
LCM(96856,96861) = 9381569016 / 1
LCM(96856,96861) = 9381569016
Least Common Multiple (LCM) of 96856 and 96861 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96856 and 96861. First we will calculate the prime factors of 96856 and 96861.
Prime Factorization of 96856
Prime factors of 96856 are 2, 12107. Prime factorization of 96856 in exponential form is:
96856 = 23 × 121071
Prime Factorization of 96861
Prime factors of 96861 are 3, 83, 389. Prime factorization of 96861 in exponential form is:
96861 = 31 × 831 × 3891
Now multiplying the highest exponent prime factors to calculate the LCM of 96856 and 96861.
LCM(96856,96861) = 23 × 121071 × 31 × 831 × 3891
LCM(96856,96861) = 9381569016
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