What is the Least Common Multiple of 84217 and 84232?
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 84217 and 84232 is 7093766344.
LCM(84217,84232) = 7093766344
Least Common Multiple of 84217 and 84232 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84217 and 84232, than apply into the LCM equation.
GCF(84217,84232) = 1
LCM(84217,84232) = ( 84217 × 84232) / 1
LCM(84217,84232) = 7093766344 / 1
LCM(84217,84232) = 7093766344
Least Common Multiple (LCM) of 84217 and 84232 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84217 and 84232. First we will calculate the prime factors of 84217 and 84232.
Prime Factorization of 84217
Prime factors of 84217 are 7, 53, 227. Prime factorization of 84217 in exponential form is:
84217 = 71 × 531 × 2271
Prime Factorization of 84232
Prime factors of 84232 are 2, 10529. Prime factorization of 84232 in exponential form is:
84232 = 23 × 105291
Now multiplying the highest exponent prime factors to calculate the LCM of 84217 and 84232.
LCM(84217,84232) = 71 × 531 × 2271 × 23 × 105291
LCM(84217,84232) = 7093766344
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Related Least Common Multiples of 84232
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