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What is the Least Common Multiple of 7459 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 7459 and 7464 is 55673976.

LCM(7459,7464) = 55673976

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Least Common Multiple of 7459 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 7459 and 7464, than apply into the LCM equation.

GCF(7459,7464) = 1
LCM(7459,7464) = ( 7459 × 7464) / 1
LCM(7459,7464) = 55673976 / 1
LCM(7459,7464) = 55673976

Least Common Multiple (LCM) of 7459 and 7464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7459 and 7464. First we will calculate the prime factors of 7459 and 7464.

Prime Factorization of 7459

Prime factors of 7459 are 7459. Prime factorization of 7459 in exponential form is:

7459 = 74591

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 7459 and 7464.

LCM(7459,7464) = 74591 × 23 × 31 × 3111
LCM(7459,7464) = 55673976