What is the Least Common Multiple of 846 and 865?
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 846 and 865 is 731790.
LCM(846,865) = 731790
Least Common Multiple of 846 and 865 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 846 and 865, than apply into the LCM equation.
GCF(846,865) = 1
LCM(846,865) = ( 846 × 865) / 1
LCM(846,865) = 731790 / 1
LCM(846,865) = 731790
Least Common Multiple (LCM) of 846 and 865 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 846 and 865. First we will calculate the prime factors of 846 and 865.
Prime Factorization of 846
Prime factors of 846 are 2, 3, 47. Prime factorization of 846 in exponential form is:
846 = 21 × 32 × 471
Prime Factorization of 865
Prime factors of 865 are 5, 173. Prime factorization of 865 in exponential form is:
865 = 51 × 1731
Now multiplying the highest exponent prime factors to calculate the LCM of 846 and 865.
LCM(846,865) = 21 × 32 × 471 × 51 × 1731
LCM(846,865) = 731790
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