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What is the Least Common Multiple of 38308 and 38320?

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 38308 and 38320 is 366990640.

LCM(38308,38320) = 366990640

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Least Common Multiple of 38308 and 38320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38308 and 38320, than apply into the LCM equation.

GCF(38308,38320) = 4
LCM(38308,38320) = ( 38308 × 38320) / 4
LCM(38308,38320) = 1467962560 / 4
LCM(38308,38320) = 366990640

Least Common Multiple (LCM) of 38308 and 38320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38308 and 38320. First we will calculate the prime factors of 38308 and 38320.

Prime Factorization of 38308

Prime factors of 38308 are 2, 61, 157. Prime factorization of 38308 in exponential form is:

38308 = 22 × 611 × 1571

Prime Factorization of 38320

Prime factors of 38320 are 2, 5, 479. Prime factorization of 38320 in exponential form is:

38320 = 24 × 51 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 38308 and 38320.

LCM(38308,38320) = 24 × 611 × 1571 × 51 × 4791
LCM(38308,38320) = 366990640