What is the Least Common Multiple of 84899 and 84918?
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 84899 and 84918 is 7209453282.
LCM(84899,84918) = 7209453282
Least Common Multiple of 84899 and 84918 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84899 and 84918, than apply into the LCM equation.
GCF(84899,84918) = 1
LCM(84899,84918) = ( 84899 × 84918) / 1
LCM(84899,84918) = 7209453282 / 1
LCM(84899,84918) = 7209453282
Least Common Multiple (LCM) of 84899 and 84918 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84899 and 84918. First we will calculate the prime factors of 84899 and 84918.
Prime Factorization of 84899
Prime factors of 84899 are 73, 1163. Prime factorization of 84899 in exponential form is:
84899 = 731 × 11631
Prime Factorization of 84918
Prime factors of 84918 are 2, 3, 14153. Prime factorization of 84918 in exponential form is:
84918 = 21 × 31 × 141531
Now multiplying the highest exponent prime factors to calculate the LCM of 84899 and 84918.
LCM(84899,84918) = 731 × 11631 × 21 × 31 × 141531
LCM(84899,84918) = 7209453282
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