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What is the Least Common Multiple of 66347 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 66347 and 66360 is 4402786920.

LCM(66347,66360) = 4402786920

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Least Common Multiple of 66347 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 66347 and 66360, than apply into the LCM equation.

GCF(66347,66360) = 1
LCM(66347,66360) = ( 66347 × 66360) / 1
LCM(66347,66360) = 4402786920 / 1
LCM(66347,66360) = 4402786920

Least Common Multiple (LCM) of 66347 and 66360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66347 and 66360. First we will calculate the prime factors of 66347 and 66360.

Prime Factorization of 66347

Prime factors of 66347 are 66347. Prime factorization of 66347 in exponential form is:

66347 = 663471

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 66347 and 66360.

LCM(66347,66360) = 663471 × 23 × 31 × 51 × 71 × 791
LCM(66347,66360) = 4402786920