What is the Least Common Multiple of 84907 and 84927?
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 84907 and 84927 is 7210896789.
LCM(84907,84927) = 7210896789
Least Common Multiple of 84907 and 84927 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84907 and 84927, than apply into the LCM equation.
GCF(84907,84927) = 1
LCM(84907,84927) = ( 84907 × 84927) / 1
LCM(84907,84927) = 7210896789 / 1
LCM(84907,84927) = 7210896789
Least Common Multiple (LCM) of 84907 and 84927 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84907 and 84927. First we will calculate the prime factors of 84907 and 84927.
Prime Factorization of 84907
Prime factors of 84907 are 197, 431. Prime factorization of 84907 in exponential form is:
84907 = 1971 × 4311
Prime Factorization of 84927
Prime factors of 84927 are 3, 28309. Prime factorization of 84927 in exponential form is:
84927 = 31 × 283091
Now multiplying the highest exponent prime factors to calculate the LCM of 84907 and 84927.
LCM(84907,84927) = 1971 × 4311 × 31 × 283091
LCM(84907,84927) = 7210896789
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