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What is the Least Common Multiple of 7554 and 7568?

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 7554 and 7568 is 28584336.

LCM(7554,7568) = 28584336

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Least Common Multiple of 7554 and 7568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7554 and 7568, than apply into the LCM equation.

GCF(7554,7568) = 2
LCM(7554,7568) = ( 7554 × 7568) / 2
LCM(7554,7568) = 57168672 / 2
LCM(7554,7568) = 28584336

Least Common Multiple (LCM) of 7554 and 7568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7554 and 7568. First we will calculate the prime factors of 7554 and 7568.

Prime Factorization of 7554

Prime factors of 7554 are 2, 3, 1259. Prime factorization of 7554 in exponential form is:

7554 = 21 × 31 × 12591

Prime Factorization of 7568

Prime factors of 7568 are 2, 11, 43. Prime factorization of 7568 in exponential form is:

7568 = 24 × 111 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 7554 and 7568.

LCM(7554,7568) = 24 × 31 × 12591 × 111 × 431
LCM(7554,7568) = 28584336