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What is the Least Common Multiple of 63941 and 63955?

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 63941 and 63955 is 4089346655.

LCM(63941,63955) = 4089346655

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Least Common Multiple of 63941 and 63955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63941 and 63955, than apply into the LCM equation.

GCF(63941,63955) = 1
LCM(63941,63955) = ( 63941 × 63955) / 1
LCM(63941,63955) = 4089346655 / 1
LCM(63941,63955) = 4089346655

Least Common Multiple (LCM) of 63941 and 63955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63941 and 63955. First we will calculate the prime factors of 63941 and 63955.

Prime Factorization of 63941

Prime factors of 63941 are 43, 1487. Prime factorization of 63941 in exponential form is:

63941 = 431 × 14871

Prime Factorization of 63955

Prime factors of 63955 are 5, 12791. Prime factorization of 63955 in exponential form is:

63955 = 51 × 127911

Now multiplying the highest exponent prime factors to calculate the LCM of 63941 and 63955.

LCM(63941,63955) = 431 × 14871 × 51 × 127911
LCM(63941,63955) = 4089346655