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What is the Least Common Multiple of 4532 and 4550?

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 4532 and 4550 is 10310300.

LCM(4532,4550) = 10310300

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Least Common Multiple of 4532 and 4550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4532 and 4550, than apply into the LCM equation.

GCF(4532,4550) = 2
LCM(4532,4550) = ( 4532 × 4550) / 2
LCM(4532,4550) = 20620600 / 2
LCM(4532,4550) = 10310300

Least Common Multiple (LCM) of 4532 and 4550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4532 and 4550. First we will calculate the prime factors of 4532 and 4550.

Prime Factorization of 4532

Prime factors of 4532 are 2, 11, 103. Prime factorization of 4532 in exponential form is:

4532 = 22 × 111 × 1031

Prime Factorization of 4550

Prime factors of 4550 are 2, 5, 7, 13. Prime factorization of 4550 in exponential form is:

4550 = 21 × 52 × 71 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 4532 and 4550.

LCM(4532,4550) = 22 × 111 × 1031 × 52 × 71 × 131
LCM(4532,4550) = 10310300