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What is the Least Common Multiple of 38824 and 38838?

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 38824 and 38838 is 753923256.

LCM(38824,38838) = 753923256

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Least Common Multiple of 38824 and 38838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38824 and 38838, than apply into the LCM equation.

GCF(38824,38838) = 2
LCM(38824,38838) = ( 38824 × 38838) / 2
LCM(38824,38838) = 1507846512 / 2
LCM(38824,38838) = 753923256

Least Common Multiple (LCM) of 38824 and 38838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38824 and 38838. First we will calculate the prime factors of 38824 and 38838.

Prime Factorization of 38824

Prime factors of 38824 are 2, 23, 211. Prime factorization of 38824 in exponential form is:

38824 = 23 × 231 × 2111

Prime Factorization of 38838

Prime factors of 38838 are 2, 3, 6473. Prime factorization of 38838 in exponential form is:

38838 = 21 × 31 × 64731

Now multiplying the highest exponent prime factors to calculate the LCM of 38824 and 38838.

LCM(38824,38838) = 23 × 231 × 2111 × 31 × 64731
LCM(38824,38838) = 753923256