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What is the Least Common Multiple of 88443 and 88454?

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 88443 and 88454 is 7823137122.

LCM(88443,88454) = 7823137122

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Least Common Multiple of 88443 and 88454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88443 and 88454, than apply into the LCM equation.

GCF(88443,88454) = 1
LCM(88443,88454) = ( 88443 × 88454) / 1
LCM(88443,88454) = 7823137122 / 1
LCM(88443,88454) = 7823137122

Least Common Multiple (LCM) of 88443 and 88454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88443 and 88454. First we will calculate the prime factors of 88443 and 88454.

Prime Factorization of 88443

Prime factors of 88443 are 3, 31, 317. Prime factorization of 88443 in exponential form is:

88443 = 32 × 311 × 3171

Prime Factorization of 88454

Prime factors of 88454 are 2, 47, 941. Prime factorization of 88454 in exponential form is:

88454 = 21 × 471 × 9411

Now multiplying the highest exponent prime factors to calculate the LCM of 88443 and 88454.

LCM(88443,88454) = 32 × 311 × 3171 × 21 × 471 × 9411
LCM(88443,88454) = 7823137122