What is the Least Common Multiple of 34831 and 34837?
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 34831 and 34837 is 1213407547.
LCM(34831,34837) = 1213407547
Least Common Multiple of 34831 and 34837 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34831 and 34837, than apply into the LCM equation.
GCF(34831,34837) = 1
LCM(34831,34837) = ( 34831 × 34837) / 1
LCM(34831,34837) = 1213407547 / 1
LCM(34831,34837) = 1213407547
Least Common Multiple (LCM) of 34831 and 34837 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 34831 and 34837. First we will calculate the prime factors of 34831 and 34837.
Prime Factorization of 34831
Prime factors of 34831 are 61, 571. Prime factorization of 34831 in exponential form is:
34831 = 611 × 5711
Prime Factorization of 34837
Prime factors of 34837 are 11, 3167. Prime factorization of 34837 in exponential form is:
34837 = 111 × 31671
Now multiplying the highest exponent prime factors to calculate the LCM of 34831 and 34837.
LCM(34831,34837) = 611 × 5711 × 111 × 31671
LCM(34831,34837) = 1213407547
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Related Least Common Multiples of 34837
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