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What is the Least Common Multiple of 88488 and 88499?

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 88488 and 88499 is 7831099512.

LCM(88488,88499) = 7831099512

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Least Common Multiple of 88488 and 88499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88488 and 88499, than apply into the LCM equation.

GCF(88488,88499) = 1
LCM(88488,88499) = ( 88488 × 88499) / 1
LCM(88488,88499) = 7831099512 / 1
LCM(88488,88499) = 7831099512

Least Common Multiple (LCM) of 88488 and 88499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88488 and 88499. First we will calculate the prime factors of 88488 and 88499.

Prime Factorization of 88488

Prime factors of 88488 are 2, 3, 1229. Prime factorization of 88488 in exponential form is:

88488 = 23 × 32 × 12291

Prime Factorization of 88499

Prime factors of 88499 are 88499. Prime factorization of 88499 in exponential form is:

88499 = 884991

Now multiplying the highest exponent prime factors to calculate the LCM of 88488 and 88499.

LCM(88488,88499) = 23 × 32 × 12291 × 884991
LCM(88488,88499) = 7831099512