What is the Least Common Multiple of 4834 and 4841?
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 4834 and 4841 is 23401394.
LCM(4834,4841) = 23401394
Least Common Multiple of 4834 and 4841 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4834 and 4841, than apply into the LCM equation.
GCF(4834,4841) = 1
LCM(4834,4841) = ( 4834 × 4841) / 1
LCM(4834,4841) = 23401394 / 1
LCM(4834,4841) = 23401394
Least Common Multiple (LCM) of 4834 and 4841 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4834 and 4841. First we will calculate the prime factors of 4834 and 4841.
Prime Factorization of 4834
Prime factors of 4834 are 2, 2417. Prime factorization of 4834 in exponential form is:
4834 = 21 × 24171
Prime Factorization of 4841
Prime factors of 4841 are 47, 103. Prime factorization of 4841 in exponential form is:
4841 = 471 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 4834 and 4841.
LCM(4834,4841) = 21 × 24171 × 471 × 1031
LCM(4834,4841) = 23401394
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