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What is the Least Common Multiple of 88354 and 88365?

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 88354 and 88365 is 7807401210.

LCM(88354,88365) = 7807401210

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Least Common Multiple of 88354 and 88365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88354 and 88365, than apply into the LCM equation.

GCF(88354,88365) = 1
LCM(88354,88365) = ( 88354 × 88365) / 1
LCM(88354,88365) = 7807401210 / 1
LCM(88354,88365) = 7807401210

Least Common Multiple (LCM) of 88354 and 88365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88354 and 88365. First we will calculate the prime factors of 88354 and 88365.

Prime Factorization of 88354

Prime factors of 88354 are 2, 7, 6311. Prime factorization of 88354 in exponential form is:

88354 = 21 × 71 × 63111

Prime Factorization of 88365

Prime factors of 88365 are 3, 5, 43, 137. Prime factorization of 88365 in exponential form is:

88365 = 31 × 51 × 431 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 88354 and 88365.

LCM(88354,88365) = 21 × 71 × 63111 × 31 × 51 × 431 × 1371
LCM(88354,88365) = 7807401210