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What is the Least Common Multiple of 60487 and 60498?

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 60487 and 60498 is 3659342526.

LCM(60487,60498) = 3659342526

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Least Common Multiple of 60487 and 60498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60487 and 60498, than apply into the LCM equation.

GCF(60487,60498) = 1
LCM(60487,60498) = ( 60487 × 60498) / 1
LCM(60487,60498) = 3659342526 / 1
LCM(60487,60498) = 3659342526

Least Common Multiple (LCM) of 60487 and 60498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60487 and 60498. First we will calculate the prime factors of 60487 and 60498.

Prime Factorization of 60487

Prime factors of 60487 are 7, 8641. Prime factorization of 60487 in exponential form is:

60487 = 71 × 86411

Prime Factorization of 60498

Prime factors of 60498 are 2, 3, 3361. Prime factorization of 60498 in exponential form is:

60498 = 21 × 32 × 33611

Now multiplying the highest exponent prime factors to calculate the LCM of 60487 and 60498.

LCM(60487,60498) = 71 × 86411 × 21 × 32 × 33611
LCM(60487,60498) = 3659342526