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What is the Least Common Multiple of 69617 and 69622?

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 69617 and 69622 is 4846874774.

LCM(69617,69622) = 4846874774

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Least Common Multiple of 69617 and 69622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69617 and 69622, than apply into the LCM equation.

GCF(69617,69622) = 1
LCM(69617,69622) = ( 69617 × 69622) / 1
LCM(69617,69622) = 4846874774 / 1
LCM(69617,69622) = 4846874774

Least Common Multiple (LCM) of 69617 and 69622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69617 and 69622. First we will calculate the prime factors of 69617 and 69622.

Prime Factorization of 69617

Prime factors of 69617 are 43, 1619. Prime factorization of 69617 in exponential form is:

69617 = 431 × 16191

Prime Factorization of 69622

Prime factors of 69622 are 2, 7, 4973. Prime factorization of 69622 in exponential form is:

69622 = 21 × 71 × 49731

Now multiplying the highest exponent prime factors to calculate the LCM of 69617 and 69622.

LCM(69617,69622) = 431 × 16191 × 21 × 71 × 49731
LCM(69617,69622) = 4846874774