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What is the Least Common Multiple of 66024 and 66030?

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 66024 and 66030 is 726594120.

LCM(66024,66030) = 726594120

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Least Common Multiple of 66024 and 66030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66024 and 66030, than apply into the LCM equation.

GCF(66024,66030) = 6
LCM(66024,66030) = ( 66024 × 66030) / 6
LCM(66024,66030) = 4359564720 / 6
LCM(66024,66030) = 726594120

Least Common Multiple (LCM) of 66024 and 66030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66024 and 66030. First we will calculate the prime factors of 66024 and 66030.

Prime Factorization of 66024

Prime factors of 66024 are 2, 3, 7, 131. Prime factorization of 66024 in exponential form is:

66024 = 23 × 32 × 71 × 1311

Prime Factorization of 66030

Prime factors of 66030 are 2, 3, 5, 31, 71. Prime factorization of 66030 in exponential form is:

66030 = 21 × 31 × 51 × 311 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 66024 and 66030.

LCM(66024,66030) = 23 × 32 × 71 × 1311 × 51 × 311 × 711
LCM(66024,66030) = 726594120