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What is the Least Common Multiple of 60797 and 60804?

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 60797 and 60804 is 3696700788.

LCM(60797,60804) = 3696700788

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Least Common Multiple of 60797 and 60804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60797 and 60804, than apply into the LCM equation.

GCF(60797,60804) = 1
LCM(60797,60804) = ( 60797 × 60804) / 1
LCM(60797,60804) = 3696700788 / 1
LCM(60797,60804) = 3696700788

Least Common Multiple (LCM) of 60797 and 60804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60797 and 60804. First we will calculate the prime factors of 60797 and 60804.

Prime Factorization of 60797

Prime factors of 60797 are 11, 5527. Prime factorization of 60797 in exponential form is:

60797 = 111 × 55271

Prime Factorization of 60804

Prime factors of 60804 are 2, 3, 563. Prime factorization of 60804 in exponential form is:

60804 = 22 × 33 × 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 60797 and 60804.

LCM(60797,60804) = 111 × 55271 × 22 × 33 × 5631
LCM(60797,60804) = 3696700788