What is the Least Common Multiple of 865 and 872?
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 865 and 872 is 754280.
LCM(865,872) = 754280
Least Common Multiple of 865 and 872 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 865 and 872, than apply into the LCM equation.
GCF(865,872) = 1
LCM(865,872) = ( 865 × 872) / 1
LCM(865,872) = 754280 / 1
LCM(865,872) = 754280
Least Common Multiple (LCM) of 865 and 872 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 865 and 872. First we will calculate the prime factors of 865 and 872.
Prime Factorization of 865
Prime factors of 865 are 5, 173. Prime factorization of 865 in exponential form is:
865 = 51 × 1731
Prime Factorization of 872
Prime factors of 872 are 2, 109. Prime factorization of 872 in exponential form is:
872 = 23 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 865 and 872.
LCM(865,872) = 51 × 1731 × 23 × 1091
LCM(865,872) = 754280
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