What is the Least Common Multiple of 84532 and 84537?
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 84532 and 84537 is 7146081684.
LCM(84532,84537) = 7146081684
Least Common Multiple of 84532 and 84537 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84532 and 84537, than apply into the LCM equation.
GCF(84532,84537) = 1
LCM(84532,84537) = ( 84532 × 84537) / 1
LCM(84532,84537) = 7146081684 / 1
LCM(84532,84537) = 7146081684
Least Common Multiple (LCM) of 84532 and 84537 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84532 and 84537. First we will calculate the prime factors of 84532 and 84537.
Prime Factorization of 84532
Prime factors of 84532 are 2, 7, 3019. Prime factorization of 84532 in exponential form is:
84532 = 22 × 71 × 30191
Prime Factorization of 84537
Prime factors of 84537 are 3, 31, 101. Prime factorization of 84537 in exponential form is:
84537 = 33 × 311 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 84532 and 84537.
LCM(84532,84537) = 22 × 71 × 30191 × 33 × 311 × 1011
LCM(84532,84537) = 7146081684
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