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What is the Least Common Multiple of 3516 and 3536?

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 3516 and 3536 is 3108144.

LCM(3516,3536) = 3108144

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Least Common Multiple of 3516 and 3536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3516 and 3536, than apply into the LCM equation.

GCF(3516,3536) = 4
LCM(3516,3536) = ( 3516 × 3536) / 4
LCM(3516,3536) = 12432576 / 4
LCM(3516,3536) = 3108144

Least Common Multiple (LCM) of 3516 and 3536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3516 and 3536. First we will calculate the prime factors of 3516 and 3536.

Prime Factorization of 3516

Prime factors of 3516 are 2, 3, 293. Prime factorization of 3516 in exponential form is:

3516 = 22 × 31 × 2931

Prime Factorization of 3536

Prime factors of 3536 are 2, 13, 17. Prime factorization of 3536 in exponential form is:

3536 = 24 × 131 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 3516 and 3536.

LCM(3516,3536) = 24 × 31 × 2931 × 131 × 171
LCM(3516,3536) = 3108144