What is the Least Common Multiple of 91847 and 91851?
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 91847 and 91851 is 8436238797.
LCM(91847,91851) = 8436238797
Least Common Multiple of 91847 and 91851 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91847 and 91851, than apply into the LCM equation.
GCF(91847,91851) = 1
LCM(91847,91851) = ( 91847 × 91851) / 1
LCM(91847,91851) = 8436238797 / 1
LCM(91847,91851) = 8436238797
Least Common Multiple (LCM) of 91847 and 91851 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91847 and 91851. First we will calculate the prime factors of 91847 and 91851.
Prime Factorization of 91847
Prime factors of 91847 are 7, 13121. Prime factorization of 91847 in exponential form is:
91847 = 71 × 131211
Prime Factorization of 91851
Prime factors of 91851 are 3, 17, 1801. Prime factorization of 91851 in exponential form is:
91851 = 31 × 171 × 18011
Now multiplying the highest exponent prime factors to calculate the LCM of 91847 and 91851.
LCM(91847,91851) = 71 × 131211 × 31 × 171 × 18011
LCM(91847,91851) = 8436238797
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