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What is the Least Common Multiple of 5470 and 5490?

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 5470 and 5490 is 3003030.

LCM(5470,5490) = 3003030

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Least Common Multiple of 5470 and 5490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5470 and 5490, than apply into the LCM equation.

GCF(5470,5490) = 10
LCM(5470,5490) = ( 5470 × 5490) / 10
LCM(5470,5490) = 30030300 / 10
LCM(5470,5490) = 3003030

Least Common Multiple (LCM) of 5470 and 5490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5470 and 5490. First we will calculate the prime factors of 5470 and 5490.

Prime Factorization of 5470

Prime factors of 5470 are 2, 5, 547. Prime factorization of 5470 in exponential form is:

5470 = 21 × 51 × 5471

Prime Factorization of 5490

Prime factors of 5490 are 2, 3, 5, 61. Prime factorization of 5490 in exponential form is:

5490 = 21 × 32 × 51 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 5470 and 5490.

LCM(5470,5490) = 21 × 51 × 5471 × 32 × 611
LCM(5470,5490) = 3003030