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What is the Least Common Multiple of 63953 and 63959?

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 63953 and 63959 is 4090369927.

LCM(63953,63959) = 4090369927

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Least Common Multiple of 63953 and 63959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63953 and 63959, than apply into the LCM equation.

GCF(63953,63959) = 1
LCM(63953,63959) = ( 63953 × 63959) / 1
LCM(63953,63959) = 4090369927 / 1
LCM(63953,63959) = 4090369927

Least Common Multiple (LCM) of 63953 and 63959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63953 and 63959. First we will calculate the prime factors of 63953 and 63959.

Prime Factorization of 63953

Prime factors of 63953 are 31, 2063. Prime factorization of 63953 in exponential form is:

63953 = 311 × 20631

Prime Factorization of 63959

Prime factors of 63959 are 7, 9137. Prime factorization of 63959 in exponential form is:

63959 = 71 × 91371

Now multiplying the highest exponent prime factors to calculate the LCM of 63953 and 63959.

LCM(63953,63959) = 311 × 20631 × 71 × 91371
LCM(63953,63959) = 4090369927