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What is the Least Common Multiple of 26832 and 26837?

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 26832 and 26837 is 720090384.

LCM(26832,26837) = 720090384

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Least Common Multiple of 26832 and 26837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26832 and 26837, than apply into the LCM equation.

GCF(26832,26837) = 1
LCM(26832,26837) = ( 26832 × 26837) / 1
LCM(26832,26837) = 720090384 / 1
LCM(26832,26837) = 720090384

Least Common Multiple (LCM) of 26832 and 26837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26832 and 26837. First we will calculate the prime factors of 26832 and 26837.

Prime Factorization of 26832

Prime factors of 26832 are 2, 3, 13, 43. Prime factorization of 26832 in exponential form is:

26832 = 24 × 31 × 131 × 431

Prime Factorization of 26837

Prime factors of 26837 are 47, 571. Prime factorization of 26837 in exponential form is:

26837 = 471 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 26832 and 26837.

LCM(26832,26837) = 24 × 31 × 131 × 431 × 471 × 5711
LCM(26832,26837) = 720090384