What is the Least Common Multiple of 8417 and 8429?
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 8417 and 8429 is 70946893.
LCM(8417,8429) = 70946893
Least Common Multiple of 8417 and 8429 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8417 and 8429, than apply into the LCM equation.
GCF(8417,8429) = 1
LCM(8417,8429) = ( 8417 × 8429) / 1
LCM(8417,8429) = 70946893 / 1
LCM(8417,8429) = 70946893
Least Common Multiple (LCM) of 8417 and 8429 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8417 and 8429. First we will calculate the prime factors of 8417 and 8429.
Prime Factorization of 8417
Prime factors of 8417 are 19, 443. Prime factorization of 8417 in exponential form is:
8417 = 191 × 4431
Prime Factorization of 8429
Prime factors of 8429 are 8429. Prime factorization of 8429 in exponential form is:
8429 = 84291
Now multiplying the highest exponent prime factors to calculate the LCM of 8417 and 8429.
LCM(8417,8429) = 191 × 4431 × 84291
LCM(8417,8429) = 70946893
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