What is the Least Common Multiple of 84073 and 84086?
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 84073 and 84086 is 7069362278.
LCM(84073,84086) = 7069362278
Least Common Multiple of 84073 and 84086 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84073 and 84086, than apply into the LCM equation.
GCF(84073,84086) = 1
LCM(84073,84086) = ( 84073 × 84086) / 1
LCM(84073,84086) = 7069362278 / 1
LCM(84073,84086) = 7069362278
Least Common Multiple (LCM) of 84073 and 84086 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84073 and 84086. First we will calculate the prime factors of 84073 and 84086.
Prime Factorization of 84073
Prime factors of 84073 are 11, 7643. Prime factorization of 84073 in exponential form is:
84073 = 111 × 76431
Prime Factorization of 84086
Prime factors of 84086 are 2, 42043. Prime factorization of 84086 in exponential form is:
84086 = 21 × 420431
Now multiplying the highest exponent prime factors to calculate the LCM of 84073 and 84086.
LCM(84073,84086) = 111 × 76431 × 21 × 420431
LCM(84073,84086) = 7069362278
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