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What is the Least Common Multiple of 66351 and 66360?

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 66351 and 66360 is 1467684120.

LCM(66351,66360) = 1467684120

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Least Common Multiple of 66351 and 66360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66351 and 66360, than apply into the LCM equation.

GCF(66351,66360) = 3
LCM(66351,66360) = ( 66351 × 66360) / 3
LCM(66351,66360) = 4403052360 / 3
LCM(66351,66360) = 1467684120

Least Common Multiple (LCM) of 66351 and 66360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66351 and 66360. First we will calculate the prime factors of 66351 and 66360.

Prime Factorization of 66351

Prime factors of 66351 are 3, 17, 1301. Prime factorization of 66351 in exponential form is:

66351 = 31 × 171 × 13011

Prime Factorization of 66360

Prime factors of 66360 are 2, 3, 5, 7, 79. Prime factorization of 66360 in exponential form is:

66360 = 23 × 31 × 51 × 71 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 66351 and 66360.

LCM(66351,66360) = 31 × 171 × 13011 × 23 × 51 × 71 × 791
LCM(66351,66360) = 1467684120