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What is the Least Common Multiple of 63965 and 63979?

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 63965 and 63979 is 4092416735.

LCM(63965,63979) = 4092416735

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Least Common Multiple of 63965 and 63979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63965 and 63979, than apply into the LCM equation.

GCF(63965,63979) = 1
LCM(63965,63979) = ( 63965 × 63979) / 1
LCM(63965,63979) = 4092416735 / 1
LCM(63965,63979) = 4092416735

Least Common Multiple (LCM) of 63965 and 63979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63965 and 63979. First we will calculate the prime factors of 63965 and 63979.

Prime Factorization of 63965

Prime factors of 63965 are 5, 11, 1163. Prime factorization of 63965 in exponential form is:

63965 = 51 × 111 × 11631

Prime Factorization of 63979

Prime factors of 63979 are 137, 467. Prime factorization of 63979 in exponential form is:

63979 = 1371 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 63965 and 63979.

LCM(63965,63979) = 51 × 111 × 11631 × 1371 × 4671
LCM(63965,63979) = 4092416735