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What is the Least Common Multiple of 7472 and 7476?

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 7472 and 7476 is 13965168.

LCM(7472,7476) = 13965168

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Least Common Multiple of 7472 and 7476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7472 and 7476, than apply into the LCM equation.

GCF(7472,7476) = 4
LCM(7472,7476) = ( 7472 × 7476) / 4
LCM(7472,7476) = 55860672 / 4
LCM(7472,7476) = 13965168

Least Common Multiple (LCM) of 7472 and 7476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7472 and 7476. First we will calculate the prime factors of 7472 and 7476.

Prime Factorization of 7472

Prime factors of 7472 are 2, 467. Prime factorization of 7472 in exponential form is:

7472 = 24 × 4671

Prime Factorization of 7476

Prime factors of 7476 are 2, 3, 7, 89. Prime factorization of 7476 in exponential form is:

7476 = 22 × 31 × 71 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 7472 and 7476.

LCM(7472,7476) = 24 × 4671 × 31 × 71 × 891
LCM(7472,7476) = 13965168