What is the Least Common Multiple of 8427 and 8440?
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 8427 and 8440 is 71123880.
LCM(8427,8440) = 71123880
Least Common Multiple of 8427 and 8440 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8427 and 8440, than apply into the LCM equation.
GCF(8427,8440) = 1
LCM(8427,8440) = ( 8427 × 8440) / 1
LCM(8427,8440) = 71123880 / 1
LCM(8427,8440) = 71123880
Least Common Multiple (LCM) of 8427 and 8440 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8427 and 8440. First we will calculate the prime factors of 8427 and 8440.
Prime Factorization of 8427
Prime factors of 8427 are 3, 53. Prime factorization of 8427 in exponential form is:
8427 = 31 × 532
Prime Factorization of 8440
Prime factors of 8440 are 2, 5, 211. Prime factorization of 8440 in exponential form is:
8440 = 23 × 51 × 2111
Now multiplying the highest exponent prime factors to calculate the LCM of 8427 and 8440.
LCM(8427,8440) = 31 × 532 × 23 × 51 × 2111
LCM(8427,8440) = 71123880
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