What is the Least Common Multiple of 22087 and 22103?
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 22103 is 488188961.
LCM(22087,22103) = 488188961
Least Common Multiple of 22087 and 22103 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 22103, than apply into the LCM equation.
GCF(22087,22103) = 1
LCM(22087,22103) = ( 22087 × 22103) / 1
LCM(22087,22103) = 488188961 / 1
LCM(22087,22103) = 488188961
Least Common Multiple (LCM) of 22087 and 22103 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22087 and 22103. First we will calculate the prime factors of 22087 and 22103.
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 22103
Prime factors of 22103 are 23, 31. Prime factorization of 22103 in exponential form is:
22103 = 231 × 312
Now multiplying the highest exponent prime factors to calculate the LCM of 22087 and 22103.
LCM(22087,22103) = 131 × 16991 × 231 × 312
LCM(22087,22103) = 488188961
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