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What is the Least Common Multiple of 66234 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 66234 and 66240 is 731223360.

LCM(66234,66240) = 731223360

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Least Common Multiple of 66234 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 66234 and 66240, than apply into the LCM equation.

GCF(66234,66240) = 6
LCM(66234,66240) = ( 66234 × 66240) / 6
LCM(66234,66240) = 4387340160 / 6
LCM(66234,66240) = 731223360

Least Common Multiple (LCM) of 66234 and 66240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66234 and 66240. First we will calculate the prime factors of 66234 and 66240.

Prime Factorization of 66234

Prime factors of 66234 are 2, 3, 7, 19, 83. Prime factorization of 66234 in exponential form is:

66234 = 21 × 31 × 71 × 191 × 831

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 66234 and 66240.

LCM(66234,66240) = 26 × 32 × 71 × 191 × 831 × 51 × 231
LCM(66234,66240) = 731223360