What is the Least Common Multiple of 834 and 841?
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 841 is 701394.
LCM(834,841) = 701394
Least Common Multiple of 834 and 841 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 841, than apply into the LCM equation.
GCF(834,841) = 1
LCM(834,841) = ( 834 × 841) / 1
LCM(834,841) = 701394 / 1
LCM(834,841) = 701394
Least Common Multiple (LCM) of 834 and 841 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 834 and 841. First we will calculate the prime factors of 834 and 841.
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 841
Prime factors of 841 are 29. Prime factorization of 841 in exponential form is:
841 = 292
Now multiplying the highest exponent prime factors to calculate the LCM of 834 and 841.
LCM(834,841) = 21 × 31 × 1391 × 292
LCM(834,841) = 701394
Related Least Common Multiples of 834
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Related Least Common Multiples of 841
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