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What is the Least Common Multiple of 4552 and 4563?

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 4552 and 4563 is 20770776.

LCM(4552,4563) = 20770776

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Least Common Multiple of 4552 and 4563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4552 and 4563, than apply into the LCM equation.

GCF(4552,4563) = 1
LCM(4552,4563) = ( 4552 × 4563) / 1
LCM(4552,4563) = 20770776 / 1
LCM(4552,4563) = 20770776

Least Common Multiple (LCM) of 4552 and 4563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4552 and 4563. First we will calculate the prime factors of 4552 and 4563.

Prime Factorization of 4552

Prime factors of 4552 are 2, 569. Prime factorization of 4552 in exponential form is:

4552 = 23 × 5691

Prime Factorization of 4563

Prime factors of 4563 are 3, 13. Prime factorization of 4563 in exponential form is:

4563 = 33 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 4552 and 4563.

LCM(4552,4563) = 23 × 5691 × 33 × 132
LCM(4552,4563) = 20770776