What is the Least Common Multiple of 84775 and 84782?
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 84775 and 84782 is 7187394050.
LCM(84775,84782) = 7187394050
Least Common Multiple of 84775 and 84782 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84775 and 84782, than apply into the LCM equation.
GCF(84775,84782) = 1
LCM(84775,84782) = ( 84775 × 84782) / 1
LCM(84775,84782) = 7187394050 / 1
LCM(84775,84782) = 7187394050
Least Common Multiple (LCM) of 84775 and 84782 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84775 and 84782. First we will calculate the prime factors of 84775 and 84782.
Prime Factorization of 84775
Prime factors of 84775 are 5, 3391. Prime factorization of 84775 in exponential form is:
84775 = 52 × 33911
Prime Factorization of 84782
Prime factors of 84782 are 2, 42391. Prime factorization of 84782 in exponential form is:
84782 = 21 × 423911
Now multiplying the highest exponent prime factors to calculate the LCM of 84775 and 84782.
LCM(84775,84782) = 52 × 33911 × 21 × 423911
LCM(84775,84782) = 7187394050
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