What is the Least Common Multiple of 87421 and 87441?
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 87421 and 87441 is 7644179661.
LCM(87421,87441) = 7644179661
Least Common Multiple of 87421 and 87441 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87421 and 87441, than apply into the LCM equation.
GCF(87421,87441) = 1
LCM(87421,87441) = ( 87421 × 87441) / 1
LCM(87421,87441) = 7644179661 / 1
LCM(87421,87441) = 7644179661
Least Common Multiple (LCM) of 87421 and 87441 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87421 and 87441. First we will calculate the prime factors of 87421 and 87441.
Prime Factorization of 87421
Prime factors of 87421 are 87421. Prime factorization of 87421 in exponential form is:
87421 = 874211
Prime Factorization of 87441
Prime factors of 87441 are 3, 29147. Prime factorization of 87441 in exponential form is:
87441 = 31 × 291471
Now multiplying the highest exponent prime factors to calculate the LCM of 87421 and 87441.
LCM(87421,87441) = 874211 × 31 × 291471
LCM(87421,87441) = 7644179661
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