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What is the Least Common Multiple of 63634 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 63634 and 63653 is 4050495002.

LCM(63634,63653) = 4050495002

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Least Common Multiple of 63634 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 63634 and 63653, than apply into the LCM equation.

GCF(63634,63653) = 1
LCM(63634,63653) = ( 63634 × 63653) / 1
LCM(63634,63653) = 4050495002 / 1
LCM(63634,63653) = 4050495002

Least Common Multiple (LCM) of 63634 and 63653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63634 and 63653. First we will calculate the prime factors of 63634 and 63653.

Prime Factorization of 63634

Prime factors of 63634 are 2, 31817. Prime factorization of 63634 in exponential form is:

63634 = 21 × 318171

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 63634 and 63653.

LCM(63634,63653) = 21 × 318171 × 531 × 12011
LCM(63634,63653) = 4050495002