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What is the Least Common Multiple of 66276 and 66282?

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 66276 and 66282 is 732150972.

LCM(66276,66282) = 732150972

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Least Common Multiple of 66276 and 66282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66276 and 66282, than apply into the LCM equation.

GCF(66276,66282) = 6
LCM(66276,66282) = ( 66276 × 66282) / 6
LCM(66276,66282) = 4392905832 / 6
LCM(66276,66282) = 732150972

Least Common Multiple (LCM) of 66276 and 66282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66276 and 66282. First we will calculate the prime factors of 66276 and 66282.

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

Prime Factorization of 66282

Prime factors of 66282 are 2, 3, 11047. Prime factorization of 66282 in exponential form is:

66282 = 21 × 31 × 110471

Now multiplying the highest exponent prime factors to calculate the LCM of 66276 and 66282.

LCM(66276,66282) = 22 × 32 × 71 × 2631 × 110471
LCM(66276,66282) = 732150972