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What is the Least Common Multiple of 88365 and 88378?

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 88365 and 88378 is 7809521970.

LCM(88365,88378) = 7809521970

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Least Common Multiple of 88365 and 88378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88365 and 88378, than apply into the LCM equation.

GCF(88365,88378) = 1
LCM(88365,88378) = ( 88365 × 88378) / 1
LCM(88365,88378) = 7809521970 / 1
LCM(88365,88378) = 7809521970

Least Common Multiple (LCM) of 88365 and 88378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88365 and 88378. First we will calculate the prime factors of 88365 and 88378.

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

Prime Factorization of 88378

Prime factors of 88378 are 2, 44189. Prime factorization of 88378 in exponential form is:

88378 = 21 × 441891

Now multiplying the highest exponent prime factors to calculate the LCM of 88365 and 88378.

LCM(88365,88378) = 31 × 51 × 431 × 1371 × 21 × 441891
LCM(88365,88378) = 7809521970