What is the Least Common Multiple of 3811 and 3831?
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 3811 and 3831 is 14599941.
LCM(3811,3831) = 14599941
Least Common Multiple of 3811 and 3831 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3811 and 3831, than apply into the LCM equation.
GCF(3811,3831) = 1
LCM(3811,3831) = ( 3811 × 3831) / 1
LCM(3811,3831) = 14599941 / 1
LCM(3811,3831) = 14599941
Least Common Multiple (LCM) of 3811 and 3831 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3811 and 3831. First we will calculate the prime factors of 3811 and 3831.
Prime Factorization of 3811
Prime factors of 3811 are 37, 103. Prime factorization of 3811 in exponential form is:
3811 = 371 × 1031
Prime Factorization of 3831
Prime factors of 3831 are 3, 1277. Prime factorization of 3831 in exponential form is:
3831 = 31 × 12771
Now multiplying the highest exponent prime factors to calculate the LCM of 3811 and 3831.
LCM(3811,3831) = 371 × 1031 × 31 × 12771
LCM(3811,3831) = 14599941
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