What is the Least Common Multiple of 22087 and 22093?
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 22087 and 22093 is 487968091.
LCM(22087,22093) = 487968091
Least Common Multiple of 22087 and 22093 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22087 and 22093, than apply into the LCM equation.
GCF(22087,22093) = 1
LCM(22087,22093) = ( 22087 × 22093) / 1
LCM(22087,22093) = 487968091 / 1
LCM(22087,22093) = 487968091
Least Common Multiple (LCM) of 22087 and 22093 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22087 and 22093. First we will calculate the prime factors of 22087 and 22093.
Prime Factorization of 22087
Prime factors of 22087 are 13, 1699. Prime factorization of 22087 in exponential form is:
22087 = 131 × 16991
Prime Factorization of 22093
Prime factors of 22093 are 22093. Prime factorization of 22093 in exponential form is:
22093 = 220931
Now multiplying the highest exponent prime factors to calculate the LCM of 22087 and 22093.
LCM(22087,22093) = 131 × 16991 × 220931
LCM(22087,22093) = 487968091
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