What is the Least Common Multiple of 22579 and 22597?
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 22579 and 22597 is 510217663.
LCM(22579,22597) = 510217663
Least Common Multiple of 22579 and 22597 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22579 and 22597, than apply into the LCM equation.
GCF(22579,22597) = 1
LCM(22579,22597) = ( 22579 × 22597) / 1
LCM(22579,22597) = 510217663 / 1
LCM(22579,22597) = 510217663
Least Common Multiple (LCM) of 22579 and 22597 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22579 and 22597. First we will calculate the prime factors of 22579 and 22597.
Prime Factorization of 22579
Prime factors of 22579 are 67, 337. Prime factorization of 22579 in exponential form is:
22579 = 671 × 3371
Prime Factorization of 22597
Prime factors of 22597 are 59, 383. Prime factorization of 22597 in exponential form is:
22597 = 591 × 3831
Now multiplying the highest exponent prime factors to calculate the LCM of 22579 and 22597.
LCM(22579,22597) = 671 × 3371 × 591 × 3831
LCM(22579,22597) = 510217663
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