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What is the Least Common Multiple of 60797 and 60810?

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 60810 is 3697065570.

LCM(60797,60810) = 3697065570

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Least Common Multiple of 60797 and 60810 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 60810, than apply into the LCM equation.

GCF(60797,60810) = 1
LCM(60797,60810) = ( 60797 × 60810) / 1
LCM(60797,60810) = 3697065570 / 1
LCM(60797,60810) = 3697065570

Least Common Multiple (LCM) of 60797 and 60810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60797 and 60810. First we will calculate the prime factors of 60797 and 60810.

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 60810

Prime factors of 60810 are 2, 3, 5, 2027. Prime factorization of 60810 in exponential form is:

60810 = 21 × 31 × 51 × 20271

Now multiplying the highest exponent prime factors to calculate the LCM of 60797 and 60810.

LCM(60797,60810) = 111 × 55271 × 21 × 31 × 51 × 20271
LCM(60797,60810) = 3697065570