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What is the Least Common Multiple of 66380 and 66399?

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 66380 and 66399 is 4407565620.

LCM(66380,66399) = 4407565620

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Least Common Multiple of 66380 and 66399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66380 and 66399, than apply into the LCM equation.

GCF(66380,66399) = 1
LCM(66380,66399) = ( 66380 × 66399) / 1
LCM(66380,66399) = 4407565620 / 1
LCM(66380,66399) = 4407565620

Least Common Multiple (LCM) of 66380 and 66399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66380 and 66399. First we will calculate the prime factors of 66380 and 66399.

Prime Factorization of 66380

Prime factors of 66380 are 2, 5, 3319. Prime factorization of 66380 in exponential form is:

66380 = 22 × 51 × 33191

Prime Factorization of 66399

Prime factors of 66399 are 3, 22133. Prime factorization of 66399 in exponential form is:

66399 = 31 × 221331

Now multiplying the highest exponent prime factors to calculate the LCM of 66380 and 66399.

LCM(66380,66399) = 22 × 51 × 33191 × 31 × 221331
LCM(66380,66399) = 4407565620