What is the Least Common Multiple of 832 and 837?
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 837 is 696384.
LCM(832,837) = 696384
Least Common Multiple of 832 and 837 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 837, than apply into the LCM equation.
GCF(832,837) = 1
LCM(832,837) = ( 832 × 837) / 1
LCM(832,837) = 696384 / 1
LCM(832,837) = 696384
Least Common Multiple (LCM) of 832 and 837 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 832 and 837. First we will calculate the prime factors of 832 and 837.
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 837
Prime factors of 837 are 3, 31. Prime factorization of 837 in exponential form is:
837 = 33 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 832 and 837.
LCM(832,837) = 26 × 131 × 33 × 311
LCM(832,837) = 696384
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