What is the Least Common Multiple of 40831 and 40837?
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 40831 and 40837 is 1667415547.
LCM(40831,40837) = 1667415547
Least Common Multiple of 40831 and 40837 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40831 and 40837, than apply into the LCM equation.
GCF(40831,40837) = 1
LCM(40831,40837) = ( 40831 × 40837) / 1
LCM(40831,40837) = 1667415547 / 1
LCM(40831,40837) = 1667415547
Least Common Multiple (LCM) of 40831 and 40837 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40831 and 40837. First we will calculate the prime factors of 40831 and 40837.
Prime Factorization of 40831
Prime factors of 40831 are 7, 19, 307. Prime factorization of 40831 in exponential form is:
40831 = 71 × 191 × 3071
Prime Factorization of 40837
Prime factors of 40837 are 97, 421. Prime factorization of 40837 in exponential form is:
40837 = 971 × 4211
Now multiplying the highest exponent prime factors to calculate the LCM of 40831 and 40837.
LCM(40831,40837) = 71 × 191 × 3071 × 971 × 4211
LCM(40831,40837) = 1667415547
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Related Least Common Multiples of 40837
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