What is the Least Common Multiple of 4930 and 4943?
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 4930 and 4943 is 24368990.
LCM(4930,4943) = 24368990
Least Common Multiple of 4930 and 4943 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4930 and 4943, than apply into the LCM equation.
GCF(4930,4943) = 1
LCM(4930,4943) = ( 4930 × 4943) / 1
LCM(4930,4943) = 24368990 / 1
LCM(4930,4943) = 24368990
Least Common Multiple (LCM) of 4930 and 4943 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4930 and 4943. First we will calculate the prime factors of 4930 and 4943.
Prime Factorization of 4930
Prime factors of 4930 are 2, 5, 17, 29. Prime factorization of 4930 in exponential form is:
4930 = 21 × 51 × 171 × 291
Prime Factorization of 4943
Prime factors of 4943 are 4943. Prime factorization of 4943 in exponential form is:
4943 = 49431
Now multiplying the highest exponent prime factors to calculate the LCM of 4930 and 4943.
LCM(4930,4943) = 21 × 51 × 171 × 291 × 49431
LCM(4930,4943) = 24368990
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