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What is the Least Common Multiple of 88443 and 88463?

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 88463 is 7823933109.

LCM(88443,88463) = 7823933109

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Least Common Multiple of 88443 and 88463 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 88463, than apply into the LCM equation.

GCF(88443,88463) = 1
LCM(88443,88463) = ( 88443 × 88463) / 1
LCM(88443,88463) = 7823933109 / 1
LCM(88443,88463) = 7823933109

Least Common Multiple (LCM) of 88443 and 88463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88443 and 88463. First we will calculate the prime factors of 88443 and 88463.

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 88463

Prime factors of 88463 are 88463. Prime factorization of 88463 in exponential form is:

88463 = 884631

Now multiplying the highest exponent prime factors to calculate the LCM of 88443 and 88463.

LCM(88443,88463) = 32 × 311 × 3171 × 884631
LCM(88443,88463) = 7823933109