What is the Least Common Multiple of 4843 and 4862?
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 4843 and 4862 is 23546666.
LCM(4843,4862) = 23546666
Least Common Multiple of 4843 and 4862 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4843 and 4862, than apply into the LCM equation.
GCF(4843,4862) = 1
LCM(4843,4862) = ( 4843 × 4862) / 1
LCM(4843,4862) = 23546666 / 1
LCM(4843,4862) = 23546666
Least Common Multiple (LCM) of 4843 and 4862 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4843 and 4862. First we will calculate the prime factors of 4843 and 4862.
Prime Factorization of 4843
Prime factors of 4843 are 29, 167. Prime factorization of 4843 in exponential form is:
4843 = 291 × 1671
Prime Factorization of 4862
Prime factors of 4862 are 2, 11, 13, 17. Prime factorization of 4862 in exponential form is:
4862 = 21 × 111 × 131 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 4843 and 4862.
LCM(4843,4862) = 291 × 1671 × 21 × 111 × 131 × 171
LCM(4843,4862) = 23546666
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