What is the Least Common Multiple of 4819 and 4837?
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 4819 and 4837 is 23309503.
LCM(4819,4837) = 23309503
Least Common Multiple of 4819 and 4837 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4819 and 4837, than apply into the LCM equation.
GCF(4819,4837) = 1
LCM(4819,4837) = ( 4819 × 4837) / 1
LCM(4819,4837) = 23309503 / 1
LCM(4819,4837) = 23309503
Least Common Multiple (LCM) of 4819 and 4837 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4819 and 4837. First we will calculate the prime factors of 4819 and 4837.
Prime Factorization of 4819
Prime factors of 4819 are 61, 79. Prime factorization of 4819 in exponential form is:
4819 = 611 × 791
Prime Factorization of 4837
Prime factors of 4837 are 7, 691. Prime factorization of 4837 in exponential form is:
4837 = 71 × 6911
Now multiplying the highest exponent prime factors to calculate the LCM of 4819 and 4837.
LCM(4819,4837) = 611 × 791 × 71 × 6911
LCM(4819,4837) = 23309503
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