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What is the Least Common Multiple of 68312 and 68324?

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 68312 and 68324 is 1166837272.

LCM(68312,68324) = 1166837272

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Least Common Multiple of 68312 and 68324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68312 and 68324, than apply into the LCM equation.

GCF(68312,68324) = 4
LCM(68312,68324) = ( 68312 × 68324) / 4
LCM(68312,68324) = 4667349088 / 4
LCM(68312,68324) = 1166837272

Least Common Multiple (LCM) of 68312 and 68324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68312 and 68324. First we will calculate the prime factors of 68312 and 68324.

Prime Factorization of 68312

Prime factors of 68312 are 2, 8539. Prime factorization of 68312 in exponential form is:

68312 = 23 × 85391

Prime Factorization of 68324

Prime factors of 68324 are 2, 19, 29, 31. Prime factorization of 68324 in exponential form is:

68324 = 22 × 191 × 291 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 68312 and 68324.

LCM(68312,68324) = 23 × 85391 × 191 × 291 × 311
LCM(68312,68324) = 1166837272