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What is the Least Common Multiple of 68605 and 68609?

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 68605 and 68609 is 4706920445.

LCM(68605,68609) = 4706920445

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Least Common Multiple of 68605 and 68609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68605 and 68609, than apply into the LCM equation.

GCF(68605,68609) = 1
LCM(68605,68609) = ( 68605 × 68609) / 1
LCM(68605,68609) = 4706920445 / 1
LCM(68605,68609) = 4706920445

Least Common Multiple (LCM) of 68605 and 68609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68605 and 68609. First we will calculate the prime factors of 68605 and 68609.

Prime Factorization of 68605

Prime factors of 68605 are 5, 13721. Prime factorization of 68605 in exponential form is:

68605 = 51 × 137211

Prime Factorization of 68609

Prime factors of 68609 are 19, 23, 157. Prime factorization of 68609 in exponential form is:

68609 = 191 × 231 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 68605 and 68609.

LCM(68605,68609) = 51 × 137211 × 191 × 231 × 1571
LCM(68605,68609) = 4706920445