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What is the Least Common Multiple of 63235 and 63254?

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 63235 and 63254 is 3999866690.

LCM(63235,63254) = 3999866690

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Least Common Multiple of 63235 and 63254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63235 and 63254, than apply into the LCM equation.

GCF(63235,63254) = 1
LCM(63235,63254) = ( 63235 × 63254) / 1
LCM(63235,63254) = 3999866690 / 1
LCM(63235,63254) = 3999866690

Least Common Multiple (LCM) of 63235 and 63254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63235 and 63254. First we will calculate the prime factors of 63235 and 63254.

Prime Factorization of 63235

Prime factors of 63235 are 5, 12647. Prime factorization of 63235 in exponential form is:

63235 = 51 × 126471

Prime Factorization of 63254

Prime factors of 63254 are 2, 31627. Prime factorization of 63254 in exponential form is:

63254 = 21 × 316271

Now multiplying the highest exponent prime factors to calculate the LCM of 63235 and 63254.

LCM(63235,63254) = 51 × 126471 × 21 × 316271
LCM(63235,63254) = 3999866690