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What is the Least Common Multiple of 63941 and 63947?

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 63947 is 4088835127.

LCM(63941,63947) = 4088835127

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Least Common Multiple of 63941 and 63947 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 63947, than apply into the LCM equation.

GCF(63941,63947) = 1
LCM(63941,63947) = ( 63941 × 63947) / 1
LCM(63941,63947) = 4088835127 / 1
LCM(63941,63947) = 4088835127

Least Common Multiple (LCM) of 63941 and 63947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63941 and 63947. First we will calculate the prime factors of 63941 and 63947.

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 63947

Prime factors of 63947 are 13, 4919. Prime factorization of 63947 in exponential form is:

63947 = 131 × 49191

Now multiplying the highest exponent prime factors to calculate the LCM of 63941 and 63947.

LCM(63941,63947) = 431 × 14871 × 131 × 49191
LCM(63941,63947) = 4088835127