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What is the Least Common Multiple of 38560 and 38568?

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 38560 and 38568 is 185897760.

LCM(38560,38568) = 185897760

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Least Common Multiple of 38560 and 38568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38560 and 38568, than apply into the LCM equation.

GCF(38560,38568) = 8
LCM(38560,38568) = ( 38560 × 38568) / 8
LCM(38560,38568) = 1487182080 / 8
LCM(38560,38568) = 185897760

Least Common Multiple (LCM) of 38560 and 38568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38560 and 38568. First we will calculate the prime factors of 38560 and 38568.

Prime Factorization of 38560

Prime factors of 38560 are 2, 5, 241. Prime factorization of 38560 in exponential form is:

38560 = 25 × 51 × 2411

Prime Factorization of 38568

Prime factors of 38568 are 2, 3, 1607. Prime factorization of 38568 in exponential form is:

38568 = 23 × 31 × 16071

Now multiplying the highest exponent prime factors to calculate the LCM of 38560 and 38568.

LCM(38560,38568) = 25 × 51 × 2411 × 31 × 16071
LCM(38560,38568) = 185897760