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What is the Least Common Multiple of 63563 and 63576?

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 63563 and 63576 is 4041081288.

LCM(63563,63576) = 4041081288

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Least Common Multiple of 63563 and 63576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63563 and 63576, than apply into the LCM equation.

GCF(63563,63576) = 1
LCM(63563,63576) = ( 63563 × 63576) / 1
LCM(63563,63576) = 4041081288 / 1
LCM(63563,63576) = 4041081288

Least Common Multiple (LCM) of 63563 and 63576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63563 and 63576. First we will calculate the prime factors of 63563 and 63576.

Prime Factorization of 63563

Prime factors of 63563 are 17, 3739. Prime factorization of 63563 in exponential form is:

63563 = 171 × 37391

Prime Factorization of 63576

Prime factors of 63576 are 2, 3, 883. Prime factorization of 63576 in exponential form is:

63576 = 23 × 32 × 8831

Now multiplying the highest exponent prime factors to calculate the LCM of 63563 and 63576.

LCM(63563,63576) = 171 × 37391 × 23 × 32 × 8831
LCM(63563,63576) = 4041081288