What is the Least Common Multiple of 9851 and 9871?
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 9851 and 9871 is 97239221.
LCM(9851,9871) = 97239221
Least Common Multiple of 9851 and 9871 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9851 and 9871, than apply into the LCM equation.
GCF(9851,9871) = 1
LCM(9851,9871) = ( 9851 × 9871) / 1
LCM(9851,9871) = 97239221 / 1
LCM(9851,9871) = 97239221
Least Common Multiple (LCM) of 9851 and 9871 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9851 and 9871. First we will calculate the prime factors of 9851 and 9871.
Prime Factorization of 9851
Prime factors of 9851 are 9851. Prime factorization of 9851 in exponential form is:
9851 = 98511
Prime Factorization of 9871
Prime factors of 9871 are 9871. Prime factorization of 9871 in exponential form is:
9871 = 98711
Now multiplying the highest exponent prime factors to calculate the LCM of 9851 and 9871.
LCM(9851,9871) = 98511 × 98711
LCM(9851,9871) = 97239221
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