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What is the Least Common Multiple of 30498 and 30518?

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 30498 and 30518 is 465368982.

LCM(30498,30518) = 465368982

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Least Common Multiple of 30498 and 30518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30498 and 30518, than apply into the LCM equation.

GCF(30498,30518) = 2
LCM(30498,30518) = ( 30498 × 30518) / 2
LCM(30498,30518) = 930737964 / 2
LCM(30498,30518) = 465368982

Least Common Multiple (LCM) of 30498 and 30518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30498 and 30518. First we will calculate the prime factors of 30498 and 30518.

Prime Factorization of 30498

Prime factors of 30498 are 2, 3, 13, 17, 23. Prime factorization of 30498 in exponential form is:

30498 = 21 × 31 × 131 × 171 × 231

Prime Factorization of 30518

Prime factors of 30518 are 2, 15259. Prime factorization of 30518 in exponential form is:

30518 = 21 × 152591

Now multiplying the highest exponent prime factors to calculate the LCM of 30498 and 30518.

LCM(30498,30518) = 21 × 31 × 131 × 171 × 231 × 152591
LCM(30498,30518) = 465368982