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What is the Least Common Multiple of 65470 and 65478?

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 65470 and 65478 is 2143422330.

LCM(65470,65478) = 2143422330

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Least Common Multiple of 65470 and 65478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65470 and 65478, than apply into the LCM equation.

GCF(65470,65478) = 2
LCM(65470,65478) = ( 65470 × 65478) / 2
LCM(65470,65478) = 4286844660 / 2
LCM(65470,65478) = 2143422330

Least Common Multiple (LCM) of 65470 and 65478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65470 and 65478. First we will calculate the prime factors of 65470 and 65478.

Prime Factorization of 65470

Prime factors of 65470 are 2, 5, 6547. Prime factorization of 65470 in exponential form is:

65470 = 21 × 51 × 65471

Prime Factorization of 65478

Prime factors of 65478 are 2, 3, 7, 1559. Prime factorization of 65478 in exponential form is:

65478 = 21 × 31 × 71 × 15591

Now multiplying the highest exponent prime factors to calculate the LCM of 65470 and 65478.

LCM(65470,65478) = 21 × 51 × 65471 × 31 × 71 × 15591
LCM(65470,65478) = 2143422330