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What is the Least Common Multiple of 66234 and 66239?

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 66239 is 4387273926.

LCM(66234,66239) = 4387273926

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Least Common Multiple of 66234 and 66239 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 66239, than apply into the LCM equation.

GCF(66234,66239) = 1
LCM(66234,66239) = ( 66234 × 66239) / 1
LCM(66234,66239) = 4387273926 / 1
LCM(66234,66239) = 4387273926

Least Common Multiple (LCM) of 66234 and 66239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66234 and 66239. First we will calculate the prime factors of 66234 and 66239.

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 66239

Prime factors of 66239 are 66239. Prime factorization of 66239 in exponential form is:

66239 = 662391

Now multiplying the highest exponent prime factors to calculate the LCM of 66234 and 66239.

LCM(66234,66239) = 21 × 31 × 71 × 191 × 831 × 662391
LCM(66234,66239) = 4387273926