What is the Least Common Multiple of 8468 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 8468 and 8474 is 35878916.
LCM(8468,8474) = 35878916
Least Common Multiple of 8468 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 8468 and 8474, than apply into the LCM equation.
GCF(8468,8474) = 2
LCM(8468,8474) = ( 8468 × 8474) / 2
LCM(8468,8474) = 71757832 / 2
LCM(8468,8474) = 35878916
Least Common Multiple (LCM) of 8468 and 8474 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8468 and 8474. First we will calculate the prime factors of 8468 and 8474.
Prime Factorization of 8468
Prime factors of 8468 are 2, 29, 73. Prime factorization of 8468 in exponential form is:
8468 = 22 × 291 × 731
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 8468 and 8474.
LCM(8468,8474) = 22 × 291 × 731 × 191 × 2231
LCM(8468,8474) = 35878916
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Related Least Common Multiples of 8474
- LCM of 8474 and 8478
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