What is the Least Common Multiple of 84037 and 84042?
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 84037 and 84042 is 7062637554.
LCM(84037,84042) = 7062637554
Least Common Multiple of 84037 and 84042 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84037 and 84042, than apply into the LCM equation.
GCF(84037,84042) = 1
LCM(84037,84042) = ( 84037 × 84042) / 1
LCM(84037,84042) = 7062637554 / 1
LCM(84037,84042) = 7062637554
Least Common Multiple (LCM) of 84037 and 84042 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84037 and 84042. First we will calculate the prime factors of 84037 and 84042.
Prime Factorization of 84037
Prime factors of 84037 are 19, 4423. Prime factorization of 84037 in exponential form is:
84037 = 191 × 44231
Prime Factorization of 84042
Prime factors of 84042 are 2, 3, 7, 23, 29. Prime factorization of 84042 in exponential form is:
84042 = 21 × 32 × 71 × 231 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 84037 and 84042.
LCM(84037,84042) = 191 × 44231 × 21 × 32 × 71 × 231 × 291
LCM(84037,84042) = 7062637554
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