What is the Least Common Multiple of 56831 and 56837?
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 56831 and 56837 is 3230103547.
LCM(56831,56837) = 3230103547
Least Common Multiple of 56831 and 56837 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56831 and 56837, than apply into the LCM equation.
GCF(56831,56837) = 1
LCM(56831,56837) = ( 56831 × 56837) / 1
LCM(56831,56837) = 3230103547 / 1
LCM(56831,56837) = 3230103547
Least Common Multiple (LCM) of 56831 and 56837 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56831 and 56837. First we will calculate the prime factors of 56831 and 56837.
Prime Factorization of 56831
Prime factors of 56831 are 17, 3343. Prime factorization of 56831 in exponential form is:
56831 = 171 × 33431
Prime Factorization of 56837
Prime factors of 56837 are 11, 5167. Prime factorization of 56837 in exponential form is:
56837 = 111 × 51671
Now multiplying the highest exponent prime factors to calculate the LCM of 56831 and 56837.
LCM(56831,56837) = 171 × 33431 × 111 × 51671
LCM(56831,56837) = 3230103547
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Related Least Common Multiples of 56837
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