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What is the Least Common Multiple of 63427 and 63445?

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 63427 and 63445 is 4024126015.

LCM(63427,63445) = 4024126015

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Least Common Multiple of 63427 and 63445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63427 and 63445, than apply into the LCM equation.

GCF(63427,63445) = 1
LCM(63427,63445) = ( 63427 × 63445) / 1
LCM(63427,63445) = 4024126015 / 1
LCM(63427,63445) = 4024126015

Least Common Multiple (LCM) of 63427 and 63445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63427 and 63445. First we will calculate the prime factors of 63427 and 63445.

Prime Factorization of 63427

Prime factors of 63427 are 7, 13, 17, 41. Prime factorization of 63427 in exponential form is:

63427 = 71 × 131 × 171 × 411

Prime Factorization of 63445

Prime factors of 63445 are 5, 12689. Prime factorization of 63445 in exponential form is:

63445 = 51 × 126891

Now multiplying the highest exponent prime factors to calculate the LCM of 63427 and 63445.

LCM(63427,63445) = 71 × 131 × 171 × 411 × 51 × 126891
LCM(63427,63445) = 4024126015