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What is the Least Common Multiple of 7446 and 7464?

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 7446 and 7464 is 9262824.

LCM(7446,7464) = 9262824

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Least Common Multiple of 7446 and 7464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7446 and 7464, than apply into the LCM equation.

GCF(7446,7464) = 6
LCM(7446,7464) = ( 7446 × 7464) / 6
LCM(7446,7464) = 55576944 / 6
LCM(7446,7464) = 9262824

Least Common Multiple (LCM) of 7446 and 7464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7446 and 7464. First we will calculate the prime factors of 7446 and 7464.

Prime Factorization of 7446

Prime factors of 7446 are 2, 3, 17, 73. Prime factorization of 7446 in exponential form is:

7446 = 21 × 31 × 171 × 731

Prime Factorization of 7464

Prime factors of 7464 are 2, 3, 311. Prime factorization of 7464 in exponential form is:

7464 = 23 × 31 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 7446 and 7464.

LCM(7446,7464) = 23 × 31 × 171 × 731 × 3111
LCM(7446,7464) = 9262824