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What is the Least Common Multiple of 88842 and 88851?

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 88842 and 88851 is 2631233514.

LCM(88842,88851) = 2631233514

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Least Common Multiple of 88842 and 88851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88842 and 88851, than apply into the LCM equation.

GCF(88842,88851) = 3
LCM(88842,88851) = ( 88842 × 88851) / 3
LCM(88842,88851) = 7893700542 / 3
LCM(88842,88851) = 2631233514

Least Common Multiple (LCM) of 88842 and 88851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88842 and 88851. First we will calculate the prime factors of 88842 and 88851.

Prime Factorization of 88842

Prime factors of 88842 are 2, 3, 13, 17, 67. Prime factorization of 88842 in exponential form is:

88842 = 21 × 31 × 131 × 171 × 671

Prime Factorization of 88851

Prime factors of 88851 are 3, 7, 4231. Prime factorization of 88851 in exponential form is:

88851 = 31 × 71 × 42311

Now multiplying the highest exponent prime factors to calculate the LCM of 88842 and 88851.

LCM(88842,88851) = 21 × 31 × 131 × 171 × 671 × 71 × 42311
LCM(88842,88851) = 2631233514