What is the Least Common Multiple of 834 and 844?
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 834 and 844 is 351948.
LCM(834,844) = 351948
Least Common Multiple of 834 and 844 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 834 and 844, than apply into the LCM equation.
GCF(834,844) = 2
LCM(834,844) = ( 834 × 844) / 2
LCM(834,844) = 703896 / 2
LCM(834,844) = 351948
Least Common Multiple (LCM) of 834 and 844 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 834 and 844. First we will calculate the prime factors of 834 and 844.
Prime Factorization of 834
Prime factors of 834 are 2, 3, 139. Prime factorization of 834 in exponential form is:
834 = 21 × 31 × 1391
Prime Factorization of 844
Prime factors of 844 are 2, 211. Prime factorization of 844 in exponential form is:
844 = 22 × 2111
Now multiplying the highest exponent prime factors to calculate the LCM of 834 and 844.
LCM(834,844) = 22 × 31 × 1391 × 2111
LCM(834,844) = 351948
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