What is the Least Common Multiple of 84429 and 84449?
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 84429 and 84449 is 7129944621.
LCM(84429,84449) = 7129944621
Least Common Multiple of 84429 and 84449 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84429 and 84449, than apply into the LCM equation.
GCF(84429,84449) = 1
LCM(84429,84449) = ( 84429 × 84449) / 1
LCM(84429,84449) = 7129944621 / 1
LCM(84429,84449) = 7129944621
Least Common Multiple (LCM) of 84429 and 84449 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84429 and 84449. First we will calculate the prime factors of 84429 and 84449.
Prime Factorization of 84429
Prime factors of 84429 are 3, 53, 59. Prime factorization of 84429 in exponential form is:
84429 = 33 × 531 × 591
Prime Factorization of 84449
Prime factors of 84449 are 84449. Prime factorization of 84449 in exponential form is:
84449 = 844491
Now multiplying the highest exponent prime factors to calculate the LCM of 84429 and 84449.
LCM(84429,84449) = 33 × 531 × 591 × 844491
LCM(84429,84449) = 7129944621
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