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What is the Least Common Multiple of 66233 and 66252?

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 66233 and 66252 is 4388068716.

LCM(66233,66252) = 4388068716

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Least Common Multiple of 66233 and 66252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66233 and 66252, than apply into the LCM equation.

GCF(66233,66252) = 1
LCM(66233,66252) = ( 66233 × 66252) / 1
LCM(66233,66252) = 4388068716 / 1
LCM(66233,66252) = 4388068716

Least Common Multiple (LCM) of 66233 and 66252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66233 and 66252. First we will calculate the prime factors of 66233 and 66252.

Prime Factorization of 66233

Prime factors of 66233 are 107, 619. Prime factorization of 66233 in exponential form is:

66233 = 1071 × 6191

Prime Factorization of 66252

Prime factors of 66252 are 2, 3, 5521. Prime factorization of 66252 in exponential form is:

66252 = 22 × 31 × 55211

Now multiplying the highest exponent prime factors to calculate the LCM of 66233 and 66252.

LCM(66233,66252) = 1071 × 6191 × 22 × 31 × 55211
LCM(66233,66252) = 4388068716