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What is the Least Common Multiple of 63930 and 63934?

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 63930 and 63934 is 2043650310.

LCM(63930,63934) = 2043650310

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Least Common Multiple of 63930 and 63934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63930 and 63934, than apply into the LCM equation.

GCF(63930,63934) = 2
LCM(63930,63934) = ( 63930 × 63934) / 2
LCM(63930,63934) = 4087300620 / 2
LCM(63930,63934) = 2043650310

Least Common Multiple (LCM) of 63930 and 63934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63930 and 63934. First we will calculate the prime factors of 63930 and 63934.

Prime Factorization of 63930

Prime factors of 63930 are 2, 3, 5, 2131. Prime factorization of 63930 in exponential form is:

63930 = 21 × 31 × 51 × 21311

Prime Factorization of 63934

Prime factors of 63934 are 2, 13, 2459. Prime factorization of 63934 in exponential form is:

63934 = 21 × 131 × 24591

Now multiplying the highest exponent prime factors to calculate the LCM of 63930 and 63934.

LCM(63930,63934) = 21 × 31 × 51 × 21311 × 131 × 24591
LCM(63930,63934) = 2043650310