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What is the Least Common Multiple of 10470 and 10490?

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 10470 and 10490 is 10983030.

LCM(10470,10490) = 10983030

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Least Common Multiple of 10470 and 10490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10470 and 10490, than apply into the LCM equation.

GCF(10470,10490) = 10
LCM(10470,10490) = ( 10470 × 10490) / 10
LCM(10470,10490) = 109830300 / 10
LCM(10470,10490) = 10983030

Least Common Multiple (LCM) of 10470 and 10490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10470 and 10490. First we will calculate the prime factors of 10470 and 10490.

Prime Factorization of 10470

Prime factors of 10470 are 2, 3, 5, 349. Prime factorization of 10470 in exponential form is:

10470 = 21 × 31 × 51 × 3491

Prime Factorization of 10490

Prime factors of 10490 are 2, 5, 1049. Prime factorization of 10490 in exponential form is:

10490 = 21 × 51 × 10491

Now multiplying the highest exponent prime factors to calculate the LCM of 10470 and 10490.

LCM(10470,10490) = 21 × 31 × 51 × 3491 × 10491
LCM(10470,10490) = 10983030