What is the Least Common Multiple of 37811 and 37831?
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 37811 and 37831 is 1430427941.
LCM(37811,37831) = 1430427941
Least Common Multiple of 37811 and 37831 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37811 and 37831, than apply into the LCM equation.
GCF(37811,37831) = 1
LCM(37811,37831) = ( 37811 × 37831) / 1
LCM(37811,37831) = 1430427941 / 1
LCM(37811,37831) = 1430427941
Least Common Multiple (LCM) of 37811 and 37831 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 37811 and 37831. First we will calculate the prime factors of 37811 and 37831.
Prime Factorization of 37811
Prime factors of 37811 are 37811. Prime factorization of 37811 in exponential form is:
37811 = 378111
Prime Factorization of 37831
Prime factors of 37831 are 37831. Prime factorization of 37831 in exponential form is:
37831 = 378311
Now multiplying the highest exponent prime factors to calculate the LCM of 37811 and 37831.
LCM(37811,37831) = 378111 × 378311
LCM(37811,37831) = 1430427941
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