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What is the Least Common Multiple of 88327 and 88336?

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 88327 and 88336 is 7802453872.

LCM(88327,88336) = 7802453872

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Least Common Multiple of 88327 and 88336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88327 and 88336, than apply into the LCM equation.

GCF(88327,88336) = 1
LCM(88327,88336) = ( 88327 × 88336) / 1
LCM(88327,88336) = 7802453872 / 1
LCM(88327,88336) = 7802453872

Least Common Multiple (LCM) of 88327 and 88336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88327 and 88336. First we will calculate the prime factors of 88327 and 88336.

Prime Factorization of 88327

Prime factors of 88327 are 88327. Prime factorization of 88327 in exponential form is:

88327 = 883271

Prime Factorization of 88336

Prime factors of 88336 are 2, 5521. Prime factorization of 88336 in exponential form is:

88336 = 24 × 55211

Now multiplying the highest exponent prime factors to calculate the LCM of 88327 and 88336.

LCM(88327,88336) = 883271 × 24 × 55211
LCM(88327,88336) = 7802453872