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What is the Least Common Multiple of 38634 and 38645?

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 38634 and 38645 is 1493010930.

LCM(38634,38645) = 1493010930

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Least Common Multiple of 38634 and 38645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38634 and 38645, than apply into the LCM equation.

GCF(38634,38645) = 1
LCM(38634,38645) = ( 38634 × 38645) / 1
LCM(38634,38645) = 1493010930 / 1
LCM(38634,38645) = 1493010930

Least Common Multiple (LCM) of 38634 and 38645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38634 and 38645. First we will calculate the prime factors of 38634 and 38645.

Prime Factorization of 38634

Prime factors of 38634 are 2, 3, 47, 137. Prime factorization of 38634 in exponential form is:

38634 = 21 × 31 × 471 × 1371

Prime Factorization of 38645

Prime factors of 38645 are 5, 59, 131. Prime factorization of 38645 in exponential form is:

38645 = 51 × 591 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 38634 and 38645.

LCM(38634,38645) = 21 × 31 × 471 × 1371 × 51 × 591 × 1311
LCM(38634,38645) = 1493010930