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What is the Least Common Multiple of 6474 and 6480?

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 6474 and 6480 is 6991920.

LCM(6474,6480) = 6991920

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Least Common Multiple of 6474 and 6480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6474 and 6480, than apply into the LCM equation.

GCF(6474,6480) = 6
LCM(6474,6480) = ( 6474 × 6480) / 6
LCM(6474,6480) = 41951520 / 6
LCM(6474,6480) = 6991920

Least Common Multiple (LCM) of 6474 and 6480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6474 and 6480. First we will calculate the prime factors of 6474 and 6480.

Prime Factorization of 6474

Prime factors of 6474 are 2, 3, 13, 83. Prime factorization of 6474 in exponential form is:

6474 = 21 × 31 × 131 × 831

Prime Factorization of 6480

Prime factors of 6480 are 2, 3, 5. Prime factorization of 6480 in exponential form is:

6480 = 24 × 34 × 51

Now multiplying the highest exponent prime factors to calculate the LCM of 6474 and 6480.

LCM(6474,6480) = 24 × 34 × 131 × 831 × 51
LCM(6474,6480) = 6991920