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What is the Least Common Multiple of 67221 and 67239?

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 67221 and 67239 is 502208091.

LCM(67221,67239) = 502208091

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Least Common Multiple of 67221 and 67239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67221 and 67239, than apply into the LCM equation.

GCF(67221,67239) = 9
LCM(67221,67239) = ( 67221 × 67239) / 9
LCM(67221,67239) = 4519872819 / 9
LCM(67221,67239) = 502208091

Least Common Multiple (LCM) of 67221 and 67239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67221 and 67239. First we will calculate the prime factors of 67221 and 67239.

Prime Factorization of 67221

Prime factors of 67221 are 3, 7, 11, 97. Prime factorization of 67221 in exponential form is:

67221 = 32 × 71 × 111 × 971

Prime Factorization of 67239

Prime factors of 67239 are 3, 31, 241. Prime factorization of 67239 in exponential form is:

67239 = 32 × 311 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 67221 and 67239.

LCM(67221,67239) = 32 × 71 × 111 × 971 × 311 × 2411
LCM(67221,67239) = 502208091