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What is the Least Common Multiple of 3506 and 3518?

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 3506 and 3518 is 6167054.

LCM(3506,3518) = 6167054

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Least Common Multiple of 3506 and 3518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3506 and 3518, than apply into the LCM equation.

GCF(3506,3518) = 2
LCM(3506,3518) = ( 3506 × 3518) / 2
LCM(3506,3518) = 12334108 / 2
LCM(3506,3518) = 6167054

Least Common Multiple (LCM) of 3506 and 3518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3506 and 3518. First we will calculate the prime factors of 3506 and 3518.

Prime Factorization of 3506

Prime factors of 3506 are 2, 1753. Prime factorization of 3506 in exponential form is:

3506 = 21 × 17531

Prime Factorization of 3518

Prime factors of 3518 are 2, 1759. Prime factorization of 3518 in exponential form is:

3518 = 21 × 17591

Now multiplying the highest exponent prime factors to calculate the LCM of 3506 and 3518.

LCM(3506,3518) = 21 × 17531 × 17591
LCM(3506,3518) = 6167054