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What is the Least Common Multiple of 87413 and 87426?

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 87413 and 87426 is 7642168938.

LCM(87413,87426) = 7642168938

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Least Common Multiple of 87413 and 87426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87413 and 87426, than apply into the LCM equation.

GCF(87413,87426) = 1
LCM(87413,87426) = ( 87413 × 87426) / 1
LCM(87413,87426) = 7642168938 / 1
LCM(87413,87426) = 7642168938

Least Common Multiple (LCM) of 87413 and 87426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87413 and 87426. First we will calculate the prime factors of 87413 and 87426.

Prime Factorization of 87413

Prime factors of 87413 are 61, 1433. Prime factorization of 87413 in exponential form is:

87413 = 611 × 14331

Prime Factorization of 87426

Prime factors of 87426 are 2, 3, 1619. Prime factorization of 87426 in exponential form is:

87426 = 21 × 33 × 16191

Now multiplying the highest exponent prime factors to calculate the LCM of 87413 and 87426.

LCM(87413,87426) = 611 × 14331 × 21 × 33 × 16191
LCM(87413,87426) = 7642168938