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What is the Least Common Multiple of 69271 and 69278?

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 69271 and 69278 is 4798956338.

LCM(69271,69278) = 4798956338

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Least Common Multiple of 69271 and 69278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69271 and 69278, than apply into the LCM equation.

GCF(69271,69278) = 1
LCM(69271,69278) = ( 69271 × 69278) / 1
LCM(69271,69278) = 4798956338 / 1
LCM(69271,69278) = 4798956338

Least Common Multiple (LCM) of 69271 and 69278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69271 and 69278. First we will calculate the prime factors of 69271 and 69278.

Prime Factorization of 69271

Prime factors of 69271 are 53, 1307. Prime factorization of 69271 in exponential form is:

69271 = 531 × 13071

Prime Factorization of 69278

Prime factors of 69278 are 2, 11, 47, 67. Prime factorization of 69278 in exponential form is:

69278 = 21 × 111 × 471 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 69271 and 69278.

LCM(69271,69278) = 531 × 13071 × 21 × 111 × 471 × 671
LCM(69271,69278) = 4798956338