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What is the Least Common Multiple of 80830 and 80837?

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 80830 and 80837 is 6534054710.

LCM(80830,80837) = 6534054710

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Least Common Multiple of 80830 and 80837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80830 and 80837, than apply into the LCM equation.

GCF(80830,80837) = 1
LCM(80830,80837) = ( 80830 × 80837) / 1
LCM(80830,80837) = 6534054710 / 1
LCM(80830,80837) = 6534054710

Least Common Multiple (LCM) of 80830 and 80837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80830 and 80837. First we will calculate the prime factors of 80830 and 80837.

Prime Factorization of 80830

Prime factors of 80830 are 2, 5, 59, 137. Prime factorization of 80830 in exponential form is:

80830 = 21 × 51 × 591 × 1371

Prime Factorization of 80837

Prime factors of 80837 are 229, 353. Prime factorization of 80837 in exponential form is:

80837 = 2291 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 80830 and 80837.

LCM(80830,80837) = 21 × 51 × 591 × 1371 × 2291 × 3531
LCM(80830,80837) = 6534054710