What is the Least Common Multiple of 832 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 832 and 841 is 699712.
LCM(832,841) = 699712
Least Common Multiple of 832 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 832 and 841, than apply into the LCM equation.
GCF(832,841) = 1
LCM(832,841) = ( 832 × 841) / 1
LCM(832,841) = 699712 / 1
LCM(832,841) = 699712
Least Common Multiple (LCM) of 832 and 841 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 832 and 841. First we will calculate the prime factors of 832 and 841.
Prime Factorization of 832
Prime factors of 832 are 2, 13. Prime factorization of 832 in exponential form is:
832 = 26 × 131
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 832 and 841.
LCM(832,841) = 26 × 131 × 292
LCM(832,841) = 699712
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