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What is the Least Common Multiple of 66261 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 66261 and 66276 is 1463838012.

LCM(66261,66276) = 1463838012

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Least Common Multiple of 66261 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 66261 and 66276, than apply into the LCM equation.

GCF(66261,66276) = 3
LCM(66261,66276) = ( 66261 × 66276) / 3
LCM(66261,66276) = 4391514036 / 3
LCM(66261,66276) = 1463838012

Least Common Multiple (LCM) of 66261 and 66276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66261 and 66276. First we will calculate the prime factors of 66261 and 66276.

Prime Factorization of 66261

Prime factors of 66261 are 3, 13, 1699. Prime factorization of 66261 in exponential form is:

66261 = 31 × 131 × 16991

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 66261 and 66276.

LCM(66261,66276) = 32 × 131 × 16991 × 22 × 71 × 2631
LCM(66261,66276) = 1463838012