What is the Least Common Multiple of 96841 and 96851?
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 96841 and 96851 is 9379147691.
LCM(96841,96851) = 9379147691
Least Common Multiple of 96841 and 96851 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96841 and 96851, than apply into the LCM equation.
GCF(96841,96851) = 1
LCM(96841,96851) = ( 96841 × 96851) / 1
LCM(96841,96851) = 9379147691 / 1
LCM(96841,96851) = 9379147691
Least Common Multiple (LCM) of 96841 and 96851 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96841 and 96851. First we will calculate the prime factors of 96841 and 96851.
Prime Factorization of 96841
Prime factors of 96841 are 113, 857. Prime factorization of 96841 in exponential form is:
96841 = 1131 × 8571
Prime Factorization of 96851
Prime factors of 96851 are 96851. Prime factorization of 96851 in exponential form is:
96851 = 968511
Now multiplying the highest exponent prime factors to calculate the LCM of 96841 and 96851.
LCM(96841,96851) = 1131 × 8571 × 968511
LCM(96841,96851) = 9379147691
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