What is the Least Common Multiple of 84997 and 85001?
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 84997 and 85001 is 7224829997.
LCM(84997,85001) = 7224829997
Least Common Multiple of 84997 and 85001 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84997 and 85001, than apply into the LCM equation.
GCF(84997,85001) = 1
LCM(84997,85001) = ( 84997 × 85001) / 1
LCM(84997,85001) = 7224829997 / 1
LCM(84997,85001) = 7224829997
Least Common Multiple (LCM) of 84997 and 85001 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84997 and 85001. First we will calculate the prime factors of 84997 and 85001.
Prime Factorization of 84997
Prime factors of 84997 are 11, 7727. Prime factorization of 84997 in exponential form is:
84997 = 111 × 77271
Prime Factorization of 85001
Prime factors of 85001 are 7, 12143. Prime factorization of 85001 in exponential form is:
85001 = 71 × 121431
Now multiplying the highest exponent prime factors to calculate the LCM of 84997 and 85001.
LCM(84997,85001) = 111 × 77271 × 71 × 121431
LCM(84997,85001) = 7224829997
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