What is the Least Common Multiple of 91847 and 91861?
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 91861 is 1205308181.
LCM(91847,91861) = 1205308181
Least Common Multiple of 91847 and 91861 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 91861, than apply into the LCM equation.
GCF(91847,91861) = 7
LCM(91847,91861) = ( 91847 × 91861) / 7
LCM(91847,91861) = 8437157267 / 7
LCM(91847,91861) = 1205308181
Least Common Multiple (LCM) of 91847 and 91861 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91847 and 91861. First we will calculate the prime factors of 91847 and 91861.
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 91861
Prime factors of 91861 are 7, 11, 1193. Prime factorization of 91861 in exponential form is:
91861 = 71 × 111 × 11931
Now multiplying the highest exponent prime factors to calculate the LCM of 91847 and 91861.
LCM(91847,91861) = 71 × 131211 × 111 × 11931
LCM(91847,91861) = 1205308181
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