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What is the Least Common Multiple of 66231 and 66240?

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 66231 and 66240 is 487460160.

LCM(66231,66240) = 487460160

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Least Common Multiple of 66231 and 66240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66231 and 66240, than apply into the LCM equation.

GCF(66231,66240) = 9
LCM(66231,66240) = ( 66231 × 66240) / 9
LCM(66231,66240) = 4387141440 / 9
LCM(66231,66240) = 487460160

Least Common Multiple (LCM) of 66231 and 66240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66231 and 66240. First we will calculate the prime factors of 66231 and 66240.

Prime Factorization of 66231

Prime factors of 66231 are 3, 11, 223. Prime factorization of 66231 in exponential form is:

66231 = 33 × 111 × 2231

Prime Factorization of 66240

Prime factors of 66240 are 2, 3, 5, 23. Prime factorization of 66240 in exponential form is:

66240 = 26 × 32 × 51 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 66231 and 66240.

LCM(66231,66240) = 33 × 111 × 2231 × 26 × 51 × 231
LCM(66231,66240) = 487460160