What is the Least Common Multiple of 84911 and 84922?
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 84911 and 84922 is 7210811942.
LCM(84911,84922) = 7210811942
Least Common Multiple of 84911 and 84922 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84911 and 84922, than apply into the LCM equation.
GCF(84911,84922) = 1
LCM(84911,84922) = ( 84911 × 84922) / 1
LCM(84911,84922) = 7210811942 / 1
LCM(84911,84922) = 7210811942
Least Common Multiple (LCM) of 84911 and 84922 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84911 and 84922. First we will calculate the prime factors of 84911 and 84922.
Prime Factorization of 84911
Prime factors of 84911 are 19, 41, 109. Prime factorization of 84911 in exponential form is:
84911 = 191 × 411 × 1091
Prime Factorization of 84922
Prime factors of 84922 are 2, 42461. Prime factorization of 84922 in exponential form is:
84922 = 21 × 424611
Now multiplying the highest exponent prime factors to calculate the LCM of 84911 and 84922.
LCM(84911,84922) = 191 × 411 × 1091 × 21 × 424611
LCM(84911,84922) = 7210811942
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