What is the Least Common Multiple of 84907 and 84911?
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 84911 is 7209538277.
LCM(84907,84911) = 7209538277
Least Common Multiple of 84907 and 84911 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 84911, than apply into the LCM equation.
GCF(84907,84911) = 1
LCM(84907,84911) = ( 84907 × 84911) / 1
LCM(84907,84911) = 7209538277 / 1
LCM(84907,84911) = 7209538277
Least Common Multiple (LCM) of 84907 and 84911 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84907 and 84911. First we will calculate the prime factors of 84907 and 84911.
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 84911
Prime factors of 84911 are 19, 41, 109. Prime factorization of 84911 in exponential form is:
84911 = 191 × 411 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 84907 and 84911.
LCM(84907,84911) = 1971 × 4311 × 191 × 411 × 1091
LCM(84907,84911) = 7209538277
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