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What is the Least Common Multiple of 88826 and 88833?

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 88826 and 88833 is 7890680058.

LCM(88826,88833) = 7890680058

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Least Common Multiple of 88826 and 88833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88826 and 88833, than apply into the LCM equation.

GCF(88826,88833) = 1
LCM(88826,88833) = ( 88826 × 88833) / 1
LCM(88826,88833) = 7890680058 / 1
LCM(88826,88833) = 7890680058

Least Common Multiple (LCM) of 88826 and 88833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88826 and 88833. First we will calculate the prime factors of 88826 and 88833.

Prime Factorization of 88826

Prime factors of 88826 are 2, 23, 1931. Prime factorization of 88826 in exponential form is:

88826 = 21 × 231 × 19311

Prime Factorization of 88833

Prime factors of 88833 are 3, 29611. Prime factorization of 88833 in exponential form is:

88833 = 31 × 296111

Now multiplying the highest exponent prime factors to calculate the LCM of 88826 and 88833.

LCM(88826,88833) = 21 × 231 × 19311 × 31 × 296111
LCM(88826,88833) = 7890680058