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What is the Least Common Multiple of 88363 and 88376?

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 88363 and 88376 is 7809168488.

LCM(88363,88376) = 7809168488

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Least Common Multiple of 88363 and 88376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88363 and 88376, than apply into the LCM equation.

GCF(88363,88376) = 1
LCM(88363,88376) = ( 88363 × 88376) / 1
LCM(88363,88376) = 7809168488 / 1
LCM(88363,88376) = 7809168488

Least Common Multiple (LCM) of 88363 and 88376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88363 and 88376. First we will calculate the prime factors of 88363 and 88376.

Prime Factorization of 88363

Prime factors of 88363 are 11, 29, 277. Prime factorization of 88363 in exponential form is:

88363 = 111 × 291 × 2771

Prime Factorization of 88376

Prime factors of 88376 are 2, 11047. Prime factorization of 88376 in exponential form is:

88376 = 23 × 110471

Now multiplying the highest exponent prime factors to calculate the LCM of 88363 and 88376.

LCM(88363,88376) = 111 × 291 × 2771 × 23 × 110471
LCM(88363,88376) = 7809168488