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What is the Least Common Multiple of 69278 and 69287?

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 69278 and 69287 is 4800064786.

LCM(69278,69287) = 4800064786

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Least Common Multiple of 69278 and 69287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69278 and 69287, than apply into the LCM equation.

GCF(69278,69287) = 1
LCM(69278,69287) = ( 69278 × 69287) / 1
LCM(69278,69287) = 4800064786 / 1
LCM(69278,69287) = 4800064786

Least Common Multiple (LCM) of 69278 and 69287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69278 and 69287. First we will calculate the prime factors of 69278 and 69287.

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

Prime Factorization of 69287

Prime factors of 69287 are 193, 359. Prime factorization of 69287 in exponential form is:

69287 = 1931 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 69278 and 69287.

LCM(69278,69287) = 21 × 111 × 471 × 671 × 1931 × 3591
LCM(69278,69287) = 4800064786