What is the Least Common Multiple of 838 and 858?
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 838 and 858 is 359502.
LCM(838,858) = 359502
Least Common Multiple of 838 and 858 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 838 and 858, than apply into the LCM equation.
GCF(838,858) = 2
LCM(838,858) = ( 838 × 858) / 2
LCM(838,858) = 719004 / 2
LCM(838,858) = 359502
Least Common Multiple (LCM) of 838 and 858 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 838 and 858. First we will calculate the prime factors of 838 and 858.
Prime Factorization of 838
Prime factors of 838 are 2, 419. Prime factorization of 838 in exponential form is:
838 = 21 × 4191
Prime Factorization of 858
Prime factors of 858 are 2, 3, 11, 13. Prime factorization of 858 in exponential form is:
858 = 21 × 31 × 111 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 838 and 858.
LCM(838,858) = 21 × 4191 × 31 × 111 × 131
LCM(838,858) = 359502
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