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What is the Least Common Multiple of 66450 and 66462?

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 66450 and 66462 is 736066650.

LCM(66450,66462) = 736066650

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Least Common Multiple of 66450 and 66462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66450 and 66462, than apply into the LCM equation.

GCF(66450,66462) = 6
LCM(66450,66462) = ( 66450 × 66462) / 6
LCM(66450,66462) = 4416399900 / 6
LCM(66450,66462) = 736066650

Least Common Multiple (LCM) of 66450 and 66462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66450 and 66462. First we will calculate the prime factors of 66450 and 66462.

Prime Factorization of 66450

Prime factors of 66450 are 2, 3, 5, 443. Prime factorization of 66450 in exponential form is:

66450 = 21 × 31 × 52 × 4431

Prime Factorization of 66462

Prime factors of 66462 are 2, 3, 11, 19, 53. Prime factorization of 66462 in exponential form is:

66462 = 21 × 31 × 111 × 191 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 66450 and 66462.

LCM(66450,66462) = 21 × 31 × 52 × 4431 × 111 × 191 × 531
LCM(66450,66462) = 736066650