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What is the Least Common Multiple of 56624 and 56643?

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 56624 and 56643 is 3207353232.

LCM(56624,56643) = 3207353232

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Least Common Multiple of 56624 and 56643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56624 and 56643, than apply into the LCM equation.

GCF(56624,56643) = 1
LCM(56624,56643) = ( 56624 × 56643) / 1
LCM(56624,56643) = 3207353232 / 1
LCM(56624,56643) = 3207353232

Least Common Multiple (LCM) of 56624 and 56643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56624 and 56643. First we will calculate the prime factors of 56624 and 56643.

Prime Factorization of 56624

Prime factors of 56624 are 2, 3539. Prime factorization of 56624 in exponential form is:

56624 = 24 × 35391

Prime Factorization of 56643

Prime factors of 56643 are 3, 79, 239. Prime factorization of 56643 in exponential form is:

56643 = 31 × 791 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 56624 and 56643.

LCM(56624,56643) = 24 × 35391 × 31 × 791 × 2391
LCM(56624,56643) = 3207353232