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What is the Least Common Multiple of 22603 and 22609?

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 22603 and 22609 is 511031227.

LCM(22603,22609) = 511031227

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Least Common Multiple of 22603 and 22609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22603 and 22609, than apply into the LCM equation.

GCF(22603,22609) = 1
LCM(22603,22609) = ( 22603 × 22609) / 1
LCM(22603,22609) = 511031227 / 1
LCM(22603,22609) = 511031227

Least Common Multiple (LCM) of 22603 and 22609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22603 and 22609. First we will calculate the prime factors of 22603 and 22609.

Prime Factorization of 22603

Prime factors of 22603 are 7, 3229. Prime factorization of 22603 in exponential form is:

22603 = 71 × 32291

Prime Factorization of 22609

Prime factors of 22609 are 23, 983. Prime factorization of 22609 in exponential form is:

22609 = 231 × 9831

Now multiplying the highest exponent prime factors to calculate the LCM of 22603 and 22609.

LCM(22603,22609) = 71 × 32291 × 231 × 9831
LCM(22603,22609) = 511031227