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What is the Least Common Multiple of 24062 and 24066?

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 24062 and 24066 is 289538046.

LCM(24062,24066) = 289538046

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Least Common Multiple of 24062 and 24066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24062 and 24066, than apply into the LCM equation.

GCF(24062,24066) = 2
LCM(24062,24066) = ( 24062 × 24066) / 2
LCM(24062,24066) = 579076092 / 2
LCM(24062,24066) = 289538046

Least Common Multiple (LCM) of 24062 and 24066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24062 and 24066. First we will calculate the prime factors of 24062 and 24066.

Prime Factorization of 24062

Prime factors of 24062 are 2, 53, 227. Prime factorization of 24062 in exponential form is:

24062 = 21 × 531 × 2271

Prime Factorization of 24066

Prime factors of 24066 are 2, 3, 7, 191. Prime factorization of 24066 in exponential form is:

24066 = 21 × 32 × 71 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 24062 and 24066.

LCM(24062,24066) = 21 × 531 × 2271 × 32 × 71 × 1911
LCM(24062,24066) = 289538046