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What is the Least Common Multiple of 6320 and 6333?

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 6320 and 6333 is 40024560.

LCM(6320,6333) = 40024560

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Least Common Multiple of 6320 and 6333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6320 and 6333, than apply into the LCM equation.

GCF(6320,6333) = 1
LCM(6320,6333) = ( 6320 × 6333) / 1
LCM(6320,6333) = 40024560 / 1
LCM(6320,6333) = 40024560

Least Common Multiple (LCM) of 6320 and 6333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6320 and 6333. First we will calculate the prime factors of 6320 and 6333.

Prime Factorization of 6320

Prime factors of 6320 are 2, 5, 79. Prime factorization of 6320 in exponential form is:

6320 = 24 × 51 × 791

Prime Factorization of 6333

Prime factors of 6333 are 3, 2111. Prime factorization of 6333 in exponential form is:

6333 = 31 × 21111

Now multiplying the highest exponent prime factors to calculate the LCM of 6320 and 6333.

LCM(6320,6333) = 24 × 51 × 791 × 31 × 21111
LCM(6320,6333) = 40024560