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What is the Least Common Multiple of 4536 and 4549?

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 4536 and 4549 is 20634264.

LCM(4536,4549) = 20634264

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Least Common Multiple of 4536 and 4549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4536 and 4549, than apply into the LCM equation.

GCF(4536,4549) = 1
LCM(4536,4549) = ( 4536 × 4549) / 1
LCM(4536,4549) = 20634264 / 1
LCM(4536,4549) = 20634264

Least Common Multiple (LCM) of 4536 and 4549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4536 and 4549. First we will calculate the prime factors of 4536 and 4549.

Prime Factorization of 4536

Prime factors of 4536 are 2, 3, 7. Prime factorization of 4536 in exponential form is:

4536 = 23 × 34 × 71

Prime Factorization of 4549

Prime factors of 4549 are 4549. Prime factorization of 4549 in exponential form is:

4549 = 45491

Now multiplying the highest exponent prime factors to calculate the LCM of 4536 and 4549.

LCM(4536,4549) = 23 × 34 × 71 × 45491
LCM(4536,4549) = 20634264