What is the Least Common Multiple of 834 and 851?
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 851 is 709734.
LCM(834,851) = 709734
Least Common Multiple of 834 and 851 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 851, than apply into the LCM equation.
GCF(834,851) = 1
LCM(834,851) = ( 834 × 851) / 1
LCM(834,851) = 709734 / 1
LCM(834,851) = 709734
Least Common Multiple (LCM) of 834 and 851 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 834 and 851. First we will calculate the prime factors of 834 and 851.
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 851
Prime factors of 851 are 23, 37. Prime factorization of 851 in exponential form is:
851 = 231 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 834 and 851.
LCM(834,851) = 21 × 31 × 1391 × 231 × 371
LCM(834,851) = 709734
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