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What is the Least Common Multiple of 63595 and 63603?

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 63595 and 63603 is 4044832785.

LCM(63595,63603) = 4044832785

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Least Common Multiple of 63595 and 63603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63595 and 63603, than apply into the LCM equation.

GCF(63595,63603) = 1
LCM(63595,63603) = ( 63595 × 63603) / 1
LCM(63595,63603) = 4044832785 / 1
LCM(63595,63603) = 4044832785

Least Common Multiple (LCM) of 63595 and 63603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63595 and 63603. First we will calculate the prime factors of 63595 and 63603.

Prime Factorization of 63595

Prime factors of 63595 are 5, 7, 23, 79. Prime factorization of 63595 in exponential form is:

63595 = 51 × 71 × 231 × 791

Prime Factorization of 63603

Prime factors of 63603 are 3, 37, 191. Prime factorization of 63603 in exponential form is:

63603 = 32 × 371 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 63595 and 63603.

LCM(63595,63603) = 51 × 71 × 231 × 791 × 32 × 371 × 1911
LCM(63595,63603) = 4044832785