What is the Least Common Multiple of 22087 and 22097?
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 22097 is 488056439.
LCM(22087,22097) = 488056439
Least Common Multiple of 22087 and 22097 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 22097, than apply into the LCM equation.
GCF(22087,22097) = 1
LCM(22087,22097) = ( 22087 × 22097) / 1
LCM(22087,22097) = 488056439 / 1
LCM(22087,22097) = 488056439
Least Common Multiple (LCM) of 22087 and 22097 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22087 and 22097. First we will calculate the prime factors of 22087 and 22097.
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 22097
Prime factors of 22097 are 19, 1163. Prime factorization of 22097 in exponential form is:
22097 = 191 × 11631
Now multiplying the highest exponent prime factors to calculate the LCM of 22087 and 22097.
LCM(22087,22097) = 131 × 16991 × 191 × 11631
LCM(22087,22097) = 488056439
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