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What is the Least Common Multiple of 8490 and 8507?

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 8490 and 8507 is 72224430.

LCM(8490,8507) = 72224430

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Least Common Multiple of 8490 and 8507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8490 and 8507, than apply into the LCM equation.

GCF(8490,8507) = 1
LCM(8490,8507) = ( 8490 × 8507) / 1
LCM(8490,8507) = 72224430 / 1
LCM(8490,8507) = 72224430

Least Common Multiple (LCM) of 8490 and 8507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8490 and 8507. First we will calculate the prime factors of 8490 and 8507.

Prime Factorization of 8490

Prime factors of 8490 are 2, 3, 5, 283. Prime factorization of 8490 in exponential form is:

8490 = 21 × 31 × 51 × 2831

Prime Factorization of 8507

Prime factors of 8507 are 47, 181. Prime factorization of 8507 in exponential form is:

8507 = 471 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 8490 and 8507.

LCM(8490,8507) = 21 × 31 × 51 × 2831 × 471 × 1811
LCM(8490,8507) = 72224430