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What is the Least Common Multiple of 66282 and 66290?

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 66282 and 66290 is 2196916890.

LCM(66282,66290) = 2196916890

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Least Common Multiple of 66282 and 66290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66282 and 66290, than apply into the LCM equation.

GCF(66282,66290) = 2
LCM(66282,66290) = ( 66282 × 66290) / 2
LCM(66282,66290) = 4393833780 / 2
LCM(66282,66290) = 2196916890

Least Common Multiple (LCM) of 66282 and 66290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66282 and 66290. First we will calculate the prime factors of 66282 and 66290.

Prime Factorization of 66282

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

66282 = 21 × 31 × 110471

Prime Factorization of 66290

Prime factors of 66290 are 2, 5, 7, 947. Prime factorization of 66290 in exponential form is:

66290 = 21 × 51 × 71 × 9471

Now multiplying the highest exponent prime factors to calculate the LCM of 66282 and 66290.

LCM(66282,66290) = 21 × 31 × 110471 × 51 × 71 × 9471
LCM(66282,66290) = 2196916890