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What is the Least Common Multiple of 66216 and 66232?

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 66216 and 66232 is 548202264.

LCM(66216,66232) = 548202264

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Least Common Multiple of 66216 and 66232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66216 and 66232, than apply into the LCM equation.

GCF(66216,66232) = 8
LCM(66216,66232) = ( 66216 × 66232) / 8
LCM(66216,66232) = 4385618112 / 8
LCM(66216,66232) = 548202264

Least Common Multiple (LCM) of 66216 and 66232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66216 and 66232. First we will calculate the prime factors of 66216 and 66232.

Prime Factorization of 66216

Prime factors of 66216 are 2, 3, 31, 89. Prime factorization of 66216 in exponential form is:

66216 = 23 × 31 × 311 × 891

Prime Factorization of 66232

Prime factors of 66232 are 2, 17, 487. Prime factorization of 66232 in exponential form is:

66232 = 23 × 171 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 66216 and 66232.

LCM(66216,66232) = 23 × 31 × 311 × 891 × 171 × 4871
LCM(66216,66232) = 548202264