What is the Least Common Multiple of 838 and 842?
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 842 is 352798.
LCM(838,842) = 352798
Least Common Multiple of 838 and 842 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 842, than apply into the LCM equation.
GCF(838,842) = 2
LCM(838,842) = ( 838 × 842) / 2
LCM(838,842) = 705596 / 2
LCM(838,842) = 352798
Least Common Multiple (LCM) of 838 and 842 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 838 and 842. First we will calculate the prime factors of 838 and 842.
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 842
Prime factors of 842 are 2, 421. Prime factorization of 842 in exponential form is:
842 = 21 × 4211
Now multiplying the highest exponent prime factors to calculate the LCM of 838 and 842.
LCM(838,842) = 21 × 4191 × 4211
LCM(838,842) = 352798
Related Least Common Multiples of 838
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Related Least Common Multiples of 842
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