What is the Least Common Multiple of 84917 and 84934?
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 84917 and 84934 is 7212340478.
LCM(84917,84934) = 7212340478
Least Common Multiple of 84917 and 84934 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84917 and 84934, than apply into the LCM equation.
GCF(84917,84934) = 1
LCM(84917,84934) = ( 84917 × 84934) / 1
LCM(84917,84934) = 7212340478 / 1
LCM(84917,84934) = 7212340478
Least Common Multiple (LCM) of 84917 and 84934 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84917 and 84934. First we will calculate the prime factors of 84917 and 84934.
Prime Factorization of 84917
Prime factors of 84917 are 7, 1733. Prime factorization of 84917 in exponential form is:
84917 = 72 × 17331
Prime Factorization of 84934
Prime factors of 84934 are 2, 42467. Prime factorization of 84934 in exponential form is:
84934 = 21 × 424671
Now multiplying the highest exponent prime factors to calculate the LCM of 84917 and 84934.
LCM(84917,84934) = 72 × 17331 × 21 × 424671
LCM(84917,84934) = 7212340478
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