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What is the Least Common Multiple of 69622 and 69631?

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 69622 and 69631 is 4847849482.

LCM(69622,69631) = 4847849482

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Least Common Multiple of 69622 and 69631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69622 and 69631, than apply into the LCM equation.

GCF(69622,69631) = 1
LCM(69622,69631) = ( 69622 × 69631) / 1
LCM(69622,69631) = 4847849482 / 1
LCM(69622,69631) = 4847849482

Least Common Multiple (LCM) of 69622 and 69631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69622 and 69631. First we will calculate the prime factors of 69622 and 69631.

Prime Factorization of 69622

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

69622 = 21 × 71 × 49731

Prime Factorization of 69631

Prime factors of 69631 are 179, 389. Prime factorization of 69631 in exponential form is:

69631 = 1791 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 69622 and 69631.

LCM(69622,69631) = 21 × 71 × 49731 × 1791 × 3891
LCM(69622,69631) = 4847849482