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What is the Least Common Multiple of 63746 and 63755?

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 63746 and 63755 is 4064126230.

LCM(63746,63755) = 4064126230

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Least Common Multiple of 63746 and 63755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63746 and 63755, than apply into the LCM equation.

GCF(63746,63755) = 1
LCM(63746,63755) = ( 63746 × 63755) / 1
LCM(63746,63755) = 4064126230 / 1
LCM(63746,63755) = 4064126230

Least Common Multiple (LCM) of 63746 and 63755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63746 and 63755. First we will calculate the prime factors of 63746 and 63755.

Prime Factorization of 63746

Prime factors of 63746 are 2, 31873. Prime factorization of 63746 in exponential form is:

63746 = 21 × 318731

Prime Factorization of 63755

Prime factors of 63755 are 5, 41, 311. Prime factorization of 63755 in exponential form is:

63755 = 51 × 411 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 63746 and 63755.

LCM(63746,63755) = 21 × 318731 × 51 × 411 × 3111
LCM(63746,63755) = 4064126230