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What is the Least Common Multiple of 6485 and 6492?

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 6485 and 6492 is 42100620.

LCM(6485,6492) = 42100620

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Least Common Multiple of 6485 and 6492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6485 and 6492, than apply into the LCM equation.

GCF(6485,6492) = 1
LCM(6485,6492) = ( 6485 × 6492) / 1
LCM(6485,6492) = 42100620 / 1
LCM(6485,6492) = 42100620

Least Common Multiple (LCM) of 6485 and 6492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6485 and 6492. First we will calculate the prime factors of 6485 and 6492.

Prime Factorization of 6485

Prime factors of 6485 are 5, 1297. Prime factorization of 6485 in exponential form is:

6485 = 51 × 12971

Prime Factorization of 6492

Prime factors of 6492 are 2, 3, 541. Prime factorization of 6492 in exponential form is:

6492 = 22 × 31 × 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 6485 and 6492.

LCM(6485,6492) = 51 × 12971 × 22 × 31 × 5411
LCM(6485,6492) = 42100620