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What is the Least Common Multiple of 68526 and 68540?

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 68526 and 68540 is 2348386020.

LCM(68526,68540) = 2348386020

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Least Common Multiple of 68526 and 68540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68526 and 68540, than apply into the LCM equation.

GCF(68526,68540) = 2
LCM(68526,68540) = ( 68526 × 68540) / 2
LCM(68526,68540) = 4696772040 / 2
LCM(68526,68540) = 2348386020

Least Common Multiple (LCM) of 68526 and 68540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68526 and 68540. First we will calculate the prime factors of 68526 and 68540.

Prime Factorization of 68526

Prime factors of 68526 are 2, 3, 47. Prime factorization of 68526 in exponential form is:

68526 = 21 × 36 × 471

Prime Factorization of 68540

Prime factors of 68540 are 2, 5, 23, 149. Prime factorization of 68540 in exponential form is:

68540 = 22 × 51 × 231 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 68526 and 68540.

LCM(68526,68540) = 22 × 36 × 471 × 51 × 231 × 1491
LCM(68526,68540) = 2348386020