What is the Least Common Multiple of 9861 and 9878?
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 9861 and 9878 is 97406958.
LCM(9861,9878) = 97406958
Least Common Multiple of 9861 and 9878 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9861 and 9878, than apply into the LCM equation.
GCF(9861,9878) = 1
LCM(9861,9878) = ( 9861 × 9878) / 1
LCM(9861,9878) = 97406958 / 1
LCM(9861,9878) = 97406958
Least Common Multiple (LCM) of 9861 and 9878 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9861 and 9878. First we will calculate the prime factors of 9861 and 9878.
Prime Factorization of 9861
Prime factors of 9861 are 3, 19, 173. Prime factorization of 9861 in exponential form is:
9861 = 31 × 191 × 1731
Prime Factorization of 9878
Prime factors of 9878 are 2, 11, 449. Prime factorization of 9878 in exponential form is:
9878 = 21 × 111 × 4491
Now multiplying the highest exponent prime factors to calculate the LCM of 9861 and 9878.
LCM(9861,9878) = 31 × 191 × 1731 × 21 × 111 × 4491
LCM(9861,9878) = 97406958
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