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What is the Least Common Multiple of 7522 and 7540?

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 7522 and 7540 is 28357940.

LCM(7522,7540) = 28357940

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Least Common Multiple of 7522 and 7540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7522 and 7540, than apply into the LCM equation.

GCF(7522,7540) = 2
LCM(7522,7540) = ( 7522 × 7540) / 2
LCM(7522,7540) = 56715880 / 2
LCM(7522,7540) = 28357940

Least Common Multiple (LCM) of 7522 and 7540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7522 and 7540. First we will calculate the prime factors of 7522 and 7540.

Prime Factorization of 7522

Prime factors of 7522 are 2, 3761. Prime factorization of 7522 in exponential form is:

7522 = 21 × 37611

Prime Factorization of 7540

Prime factors of 7540 are 2, 5, 13, 29. Prime factorization of 7540 in exponential form is:

7540 = 22 × 51 × 131 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 7522 and 7540.

LCM(7522,7540) = 22 × 37611 × 51 × 131 × 291
LCM(7522,7540) = 28357940