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What is the Least Common Multiple of 88818 and 88828?

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 88818 and 88828 is 3944762652.

LCM(88818,88828) = 3944762652

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Least Common Multiple of 88818 and 88828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88818 and 88828, than apply into the LCM equation.

GCF(88818,88828) = 2
LCM(88818,88828) = ( 88818 × 88828) / 2
LCM(88818,88828) = 7889525304 / 2
LCM(88818,88828) = 3944762652

Least Common Multiple (LCM) of 88818 and 88828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88818 and 88828. First we will calculate the prime factors of 88818 and 88828.

Prime Factorization of 88818

Prime factors of 88818 are 2, 3, 113, 131. Prime factorization of 88818 in exponential form is:

88818 = 21 × 31 × 1131 × 1311

Prime Factorization of 88828

Prime factors of 88828 are 2, 53, 419. Prime factorization of 88828 in exponential form is:

88828 = 22 × 531 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 88818 and 88828.

LCM(88818,88828) = 22 × 31 × 1131 × 1311 × 531 × 4191
LCM(88818,88828) = 3944762652