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What is the Least Common Multiple of 9498 and 9509?

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 9498 and 9509 is 90316482.

LCM(9498,9509) = 90316482

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Least Common Multiple of 9498 and 9509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9498 and 9509, than apply into the LCM equation.

GCF(9498,9509) = 1
LCM(9498,9509) = ( 9498 × 9509) / 1
LCM(9498,9509) = 90316482 / 1
LCM(9498,9509) = 90316482

Least Common Multiple (LCM) of 9498 and 9509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9498 and 9509. First we will calculate the prime factors of 9498 and 9509.

Prime Factorization of 9498

Prime factors of 9498 are 2, 3, 1583. Prime factorization of 9498 in exponential form is:

9498 = 21 × 31 × 15831

Prime Factorization of 9509

Prime factors of 9509 are 37, 257. Prime factorization of 9509 in exponential form is:

9509 = 371 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 9498 and 9509.

LCM(9498,9509) = 21 × 31 × 15831 × 371 × 2571
LCM(9498,9509) = 90316482