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What is the Least Common Multiple of 67514 and 67526?

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 67514 and 67526 is 2279475182.

LCM(67514,67526) = 2279475182

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Least Common Multiple of 67514 and 67526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67514 and 67526, than apply into the LCM equation.

GCF(67514,67526) = 2
LCM(67514,67526) = ( 67514 × 67526) / 2
LCM(67514,67526) = 4558950364 / 2
LCM(67514,67526) = 2279475182

Least Common Multiple (LCM) of 67514 and 67526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67514 and 67526. First we will calculate the prime factors of 67514 and 67526.

Prime Factorization of 67514

Prime factors of 67514 are 2, 33757. Prime factorization of 67514 in exponential form is:

67514 = 21 × 337571

Prime Factorization of 67526

Prime factors of 67526 are 2, 19, 1777. Prime factorization of 67526 in exponential form is:

67526 = 21 × 191 × 17771

Now multiplying the highest exponent prime factors to calculate the LCM of 67514 and 67526.

LCM(67514,67526) = 21 × 337571 × 191 × 17771
LCM(67514,67526) = 2279475182