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What is the Least Common Multiple of 63922 and 63940?

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 63922 and 63940 is 2043586340.

LCM(63922,63940) = 2043586340

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Least Common Multiple of 63922 and 63940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63922 and 63940, than apply into the LCM equation.

GCF(63922,63940) = 2
LCM(63922,63940) = ( 63922 × 63940) / 2
LCM(63922,63940) = 4087172680 / 2
LCM(63922,63940) = 2043586340

Least Common Multiple (LCM) of 63922 and 63940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63922 and 63940. First we will calculate the prime factors of 63922 and 63940.

Prime Factorization of 63922

Prime factors of 63922 are 2, 31, 1031. Prime factorization of 63922 in exponential form is:

63922 = 21 × 311 × 10311

Prime Factorization of 63940

Prime factors of 63940 are 2, 5, 23, 139. Prime factorization of 63940 in exponential form is:

63940 = 22 × 51 × 231 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 63922 and 63940.

LCM(63922,63940) = 22 × 311 × 10311 × 51 × 231 × 1391
LCM(63922,63940) = 2043586340