What is the Least Common Multiple of 3811 and 3821?
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 3821 is 14561831.
LCM(3811,3821) = 14561831
Least Common Multiple of 3811 and 3821 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 3821, than apply into the LCM equation.
GCF(3811,3821) = 1
LCM(3811,3821) = ( 3811 × 3821) / 1
LCM(3811,3821) = 14561831 / 1
LCM(3811,3821) = 14561831
Least Common Multiple (LCM) of 3811 and 3821 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3811 and 3821. First we will calculate the prime factors of 3811 and 3821.
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 3821
Prime factors of 3821 are 3821. Prime factorization of 3821 in exponential form is:
3821 = 38211
Now multiplying the highest exponent prime factors to calculate the LCM of 3811 and 3821.
LCM(3811,3821) = 371 × 1031 × 38211
LCM(3811,3821) = 14561831
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