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What is the Least Common Multiple of 7506 and 7524?

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 7506 and 7524 is 3137508.

LCM(7506,7524) = 3137508

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Least Common Multiple of 7506 and 7524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7506 and 7524, than apply into the LCM equation.

GCF(7506,7524) = 18
LCM(7506,7524) = ( 7506 × 7524) / 18
LCM(7506,7524) = 56475144 / 18
LCM(7506,7524) = 3137508

Least Common Multiple (LCM) of 7506 and 7524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7506 and 7524. First we will calculate the prime factors of 7506 and 7524.

Prime Factorization of 7506

Prime factors of 7506 are 2, 3, 139. Prime factorization of 7506 in exponential form is:

7506 = 21 × 33 × 1391

Prime Factorization of 7524

Prime factors of 7524 are 2, 3, 11, 19. Prime factorization of 7524 in exponential form is:

7524 = 22 × 32 × 111 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 7506 and 7524.

LCM(7506,7524) = 22 × 33 × 1391 × 111 × 191
LCM(7506,7524) = 3137508