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What is the Least Common Multiple of 88818 and 88827?

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 88827 is 2629812162.

LCM(88818,88827) = 2629812162

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Least Common Multiple of 88818 and 88827 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 88827, than apply into the LCM equation.

GCF(88818,88827) = 3
LCM(88818,88827) = ( 88818 × 88827) / 3
LCM(88818,88827) = 7889436486 / 3
LCM(88818,88827) = 2629812162

Least Common Multiple (LCM) of 88818 and 88827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88818 and 88827. First we will calculate the prime factors of 88818 and 88827.

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 88827

Prime factors of 88827 are 3, 29, 1021. Prime factorization of 88827 in exponential form is:

88827 = 31 × 291 × 10211

Now multiplying the highest exponent prime factors to calculate the LCM of 88818 and 88827.

LCM(88818,88827) = 21 × 31 × 1131 × 1311 × 291 × 10211
LCM(88818,88827) = 2629812162