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What is the Least Common Multiple of 7520 and 7533?

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 7520 and 7533 is 56648160.

LCM(7520,7533) = 56648160

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Least Common Multiple of 7520 and 7533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7520 and 7533, than apply into the LCM equation.

GCF(7520,7533) = 1
LCM(7520,7533) = ( 7520 × 7533) / 1
LCM(7520,7533) = 56648160 / 1
LCM(7520,7533) = 56648160

Least Common Multiple (LCM) of 7520 and 7533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7520 and 7533. First we will calculate the prime factors of 7520 and 7533.

Prime Factorization of 7520

Prime factors of 7520 are 2, 5, 47. Prime factorization of 7520 in exponential form is:

7520 = 25 × 51 × 471

Prime Factorization of 7533

Prime factors of 7533 are 3, 31. Prime factorization of 7533 in exponential form is:

7533 = 35 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 7520 and 7533.

LCM(7520,7533) = 25 × 51 × 471 × 35 × 311
LCM(7520,7533) = 56648160