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What is the Least Common Multiple of 63649 and 63653?

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 63649 and 63653 is 4051449797.

LCM(63649,63653) = 4051449797

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Least Common Multiple of 63649 and 63653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63649 and 63653, than apply into the LCM equation.

GCF(63649,63653) = 1
LCM(63649,63653) = ( 63649 × 63653) / 1
LCM(63649,63653) = 4051449797 / 1
LCM(63649,63653) = 4051449797

Least Common Multiple (LCM) of 63649 and 63653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63649 and 63653. First we will calculate the prime factors of 63649 and 63653.

Prime Factorization of 63649

Prime factors of 63649 are 63649. Prime factorization of 63649 in exponential form is:

63649 = 636491

Prime Factorization of 63653

Prime factors of 63653 are 53, 1201. Prime factorization of 63653 in exponential form is:

63653 = 531 × 12011

Now multiplying the highest exponent prime factors to calculate the LCM of 63649 and 63653.

LCM(63649,63653) = 636491 × 531 × 12011
LCM(63649,63653) = 4051449797