What is the Least Common Multiple of 84031 and 84035?
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 84031 and 84035 is 7061545085.
LCM(84031,84035) = 7061545085
Least Common Multiple of 84031 and 84035 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84031 and 84035, than apply into the LCM equation.
GCF(84031,84035) = 1
LCM(84031,84035) = ( 84031 × 84035) / 1
LCM(84031,84035) = 7061545085 / 1
LCM(84031,84035) = 7061545085
Least Common Multiple (LCM) of 84031 and 84035 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84031 and 84035. First we will calculate the prime factors of 84031 and 84035.
Prime Factorization of 84031
Prime factors of 84031 are 17, 4943. Prime factorization of 84031 in exponential form is:
84031 = 171 × 49431
Prime Factorization of 84035
Prime factors of 84035 are 5, 7. Prime factorization of 84035 in exponential form is:
84035 = 51 × 75
Now multiplying the highest exponent prime factors to calculate the LCM of 84031 and 84035.
LCM(84031,84035) = 171 × 49431 × 51 × 75
LCM(84031,84035) = 7061545085
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