What is the Least Common Multiple of 52838 and 52851?
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 52838 and 52851 is 2792541138.
LCM(52838,52851) = 2792541138
Least Common Multiple of 52838 and 52851 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52838 and 52851, than apply into the LCM equation.
GCF(52838,52851) = 1
LCM(52838,52851) = ( 52838 × 52851) / 1
LCM(52838,52851) = 2792541138 / 1
LCM(52838,52851) = 2792541138
Least Common Multiple (LCM) of 52838 and 52851 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52838 and 52851. First we will calculate the prime factors of 52838 and 52851.
Prime Factorization of 52838
Prime factors of 52838 are 2, 29, 911. Prime factorization of 52838 in exponential form is:
52838 = 21 × 291 × 9111
Prime Factorization of 52851
Prime factors of 52851 are 3, 79, 223. Prime factorization of 52851 in exponential form is:
52851 = 31 × 791 × 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 52838 and 52851.
LCM(52838,52851) = 21 × 291 × 9111 × 31 × 791 × 2231
LCM(52838,52851) = 2792541138
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