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What is the Least Common Multiple of 88835 and 88842?

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 88835 and 88842 is 7892279070.

LCM(88835,88842) = 7892279070

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Least Common Multiple of 88835 and 88842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88835 and 88842, than apply into the LCM equation.

GCF(88835,88842) = 1
LCM(88835,88842) = ( 88835 × 88842) / 1
LCM(88835,88842) = 7892279070 / 1
LCM(88835,88842) = 7892279070

Least Common Multiple (LCM) of 88835 and 88842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88835 and 88842. First we will calculate the prime factors of 88835 and 88842.

Prime Factorization of 88835

Prime factors of 88835 are 5, 109, 163. Prime factorization of 88835 in exponential form is:

88835 = 51 × 1091 × 1631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 88835 and 88842.

LCM(88835,88842) = 51 × 1091 × 1631 × 21 × 31 × 131 × 171 × 671
LCM(88835,88842) = 7892279070