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What is the Least Common Multiple of 69380 and 69395?

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 69380 and 69395 is 962925020.

LCM(69380,69395) = 962925020

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Least Common Multiple of 69380 and 69395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69380 and 69395, than apply into the LCM equation.

GCF(69380,69395) = 5
LCM(69380,69395) = ( 69380 × 69395) / 5
LCM(69380,69395) = 4814625100 / 5
LCM(69380,69395) = 962925020

Least Common Multiple (LCM) of 69380 and 69395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69380 and 69395. First we will calculate the prime factors of 69380 and 69395.

Prime Factorization of 69380

Prime factors of 69380 are 2, 5, 3469. Prime factorization of 69380 in exponential form is:

69380 = 22 × 51 × 34691

Prime Factorization of 69395

Prime factors of 69395 are 5, 13879. Prime factorization of 69395 in exponential form is:

69395 = 51 × 138791

Now multiplying the highest exponent prime factors to calculate the LCM of 69380 and 69395.

LCM(69380,69395) = 22 × 51 × 34691 × 138791
LCM(69380,69395) = 962925020