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What is the Least Common Multiple of 66258 and 66276?

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 66258 and 66276 is 243961956.

LCM(66258,66276) = 243961956

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Least Common Multiple of 66258 and 66276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66258 and 66276, than apply into the LCM equation.

GCF(66258,66276) = 18
LCM(66258,66276) = ( 66258 × 66276) / 18
LCM(66258,66276) = 4391315208 / 18
LCM(66258,66276) = 243961956

Least Common Multiple (LCM) of 66258 and 66276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66258 and 66276. First we will calculate the prime factors of 66258 and 66276.

Prime Factorization of 66258

Prime factors of 66258 are 2, 3, 409. Prime factorization of 66258 in exponential form is:

66258 = 21 × 34 × 4091

Prime Factorization of 66276

Prime factors of 66276 are 2, 3, 7, 263. Prime factorization of 66276 in exponential form is:

66276 = 22 × 32 × 71 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 66258 and 66276.

LCM(66258,66276) = 22 × 34 × 4091 × 71 × 2631
LCM(66258,66276) = 243961956