What is the Least Common Multiple of 8465 and 8474?
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 8465 and 8474 is 71732410.
LCM(8465,8474) = 71732410
Least Common Multiple of 8465 and 8474 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8465 and 8474, than apply into the LCM equation.
GCF(8465,8474) = 1
LCM(8465,8474) = ( 8465 × 8474) / 1
LCM(8465,8474) = 71732410 / 1
LCM(8465,8474) = 71732410
Least Common Multiple (LCM) of 8465 and 8474 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8465 and 8474. First we will calculate the prime factors of 8465 and 8474.
Prime Factorization of 8465
Prime factors of 8465 are 5, 1693. Prime factorization of 8465 in exponential form is:
8465 = 51 × 16931
Prime Factorization of 8474
Prime factors of 8474 are 2, 19, 223. Prime factorization of 8474 in exponential form is:
8474 = 21 × 191 × 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 8465 and 8474.
LCM(8465,8474) = 51 × 16931 × 21 × 191 × 2231
LCM(8465,8474) = 71732410
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