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What is the Least Common Multiple of 7498 and 7513?

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 7498 and 7513 is 56332474.

LCM(7498,7513) = 56332474

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Least Common Multiple of 7498 and 7513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7498 and 7513, than apply into the LCM equation.

GCF(7498,7513) = 1
LCM(7498,7513) = ( 7498 × 7513) / 1
LCM(7498,7513) = 56332474 / 1
LCM(7498,7513) = 56332474

Least Common Multiple (LCM) of 7498 and 7513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7498 and 7513. First we will calculate the prime factors of 7498 and 7513.

Prime Factorization of 7498

Prime factors of 7498 are 2, 23, 163. Prime factorization of 7498 in exponential form is:

7498 = 21 × 231 × 1631

Prime Factorization of 7513

Prime factors of 7513 are 11, 683. Prime factorization of 7513 in exponential form is:

7513 = 111 × 6831

Now multiplying the highest exponent prime factors to calculate the LCM of 7498 and 7513.

LCM(7498,7513) = 21 × 231 × 1631 × 111 × 6831
LCM(7498,7513) = 56332474