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What is the Least Common Multiple of 63562 and 63573?

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 63562 and 63573 is 4040827026.

LCM(63562,63573) = 4040827026

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Least Common Multiple of 63562 and 63573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63562 and 63573, than apply into the LCM equation.

GCF(63562,63573) = 1
LCM(63562,63573) = ( 63562 × 63573) / 1
LCM(63562,63573) = 4040827026 / 1
LCM(63562,63573) = 4040827026

Least Common Multiple (LCM) of 63562 and 63573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63562 and 63573. First we will calculate the prime factors of 63562 and 63573.

Prime Factorization of 63562

Prime factors of 63562 are 2, 61, 521. Prime factorization of 63562 in exponential form is:

63562 = 21 × 611 × 5211

Prime Factorization of 63573

Prime factors of 63573 are 3, 21191. Prime factorization of 63573 in exponential form is:

63573 = 31 × 211911

Now multiplying the highest exponent prime factors to calculate the LCM of 63562 and 63573.

LCM(63562,63573) = 21 × 611 × 5211 × 31 × 211911
LCM(63562,63573) = 4040827026