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What is the Least Common Multiple of 66408 and 66427?

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 66408 and 66427 is 4411284216.

LCM(66408,66427) = 4411284216

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Least Common Multiple of 66408 and 66427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66408 and 66427, than apply into the LCM equation.

GCF(66408,66427) = 1
LCM(66408,66427) = ( 66408 × 66427) / 1
LCM(66408,66427) = 4411284216 / 1
LCM(66408,66427) = 4411284216

Least Common Multiple (LCM) of 66408 and 66427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66408 and 66427. First we will calculate the prime factors of 66408 and 66427.

Prime Factorization of 66408

Prime factors of 66408 are 2, 3, 2767. Prime factorization of 66408 in exponential form is:

66408 = 23 × 31 × 27671

Prime Factorization of 66427

Prime factors of 66427 are 181, 367. Prime factorization of 66427 in exponential form is:

66427 = 1811 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 66408 and 66427.

LCM(66408,66427) = 23 × 31 × 27671 × 1811 × 3671
LCM(66408,66427) = 4411284216