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What is the Least Common Multiple of 69380 and 69385?

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 69385 is 962786260.

LCM(69380,69385) = 962786260

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Least Common Multiple of 69380 and 69385 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 69385, than apply into the LCM equation.

GCF(69380,69385) = 5
LCM(69380,69385) = ( 69380 × 69385) / 5
LCM(69380,69385) = 4813931300 / 5
LCM(69380,69385) = 962786260

Least Common Multiple (LCM) of 69380 and 69385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69380 and 69385. First we will calculate the prime factors of 69380 and 69385.

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 69385

Prime factors of 69385 are 5, 13877. Prime factorization of 69385 in exponential form is:

69385 = 51 × 138771

Now multiplying the highest exponent prime factors to calculate the LCM of 69380 and 69385.

LCM(69380,69385) = 22 × 51 × 34691 × 138771
LCM(69380,69385) = 962786260