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What is the Least Common Multiple of 38619 and 38634?

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 38619 and 38634 is 497335482.

LCM(38619,38634) = 497335482

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Least Common Multiple of 38619 and 38634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38619 and 38634, than apply into the LCM equation.

GCF(38619,38634) = 3
LCM(38619,38634) = ( 38619 × 38634) / 3
LCM(38619,38634) = 1492006446 / 3
LCM(38619,38634) = 497335482

Least Common Multiple (LCM) of 38619 and 38634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38619 and 38634. First we will calculate the prime factors of 38619 and 38634.

Prime Factorization of 38619

Prime factors of 38619 are 3, 7, 613. Prime factorization of 38619 in exponential form is:

38619 = 32 × 71 × 6131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 38619 and 38634.

LCM(38619,38634) = 32 × 71 × 6131 × 21 × 471 × 1371
LCM(38619,38634) = 497335482