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What is the Least Common Multiple of 63432 and 63448?

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 63432 and 63448 is 503079192.

LCM(63432,63448) = 503079192

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Least Common Multiple of 63432 and 63448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63432 and 63448, than apply into the LCM equation.

GCF(63432,63448) = 8
LCM(63432,63448) = ( 63432 × 63448) / 8
LCM(63432,63448) = 4024633536 / 8
LCM(63432,63448) = 503079192

Least Common Multiple (LCM) of 63432 and 63448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63432 and 63448. First we will calculate the prime factors of 63432 and 63448.

Prime Factorization of 63432

Prime factors of 63432 are 2, 3, 881. Prime factorization of 63432 in exponential form is:

63432 = 23 × 32 × 8811

Prime Factorization of 63448

Prime factors of 63448 are 2, 7, 11, 103. Prime factorization of 63448 in exponential form is:

63448 = 23 × 71 × 111 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 63432 and 63448.

LCM(63432,63448) = 23 × 32 × 8811 × 71 × 111 × 1031
LCM(63432,63448) = 503079192