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What is the Least Common Multiple of 68226 and 68246?

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 68226 and 68246 is 2328075798.

LCM(68226,68246) = 2328075798

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Least Common Multiple of 68226 and 68246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68226 and 68246, than apply into the LCM equation.

GCF(68226,68246) = 2
LCM(68226,68246) = ( 68226 × 68246) / 2
LCM(68226,68246) = 4656151596 / 2
LCM(68226,68246) = 2328075798

Least Common Multiple (LCM) of 68226 and 68246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68226 and 68246. First we will calculate the prime factors of 68226 and 68246.

Prime Factorization of 68226

Prime factors of 68226 are 2, 3, 83, 137. Prime factorization of 68226 in exponential form is:

68226 = 21 × 31 × 831 × 1371

Prime Factorization of 68246

Prime factors of 68246 are 2, 34123. Prime factorization of 68246 in exponential form is:

68246 = 21 × 341231

Now multiplying the highest exponent prime factors to calculate the LCM of 68226 and 68246.

LCM(68226,68246) = 21 × 31 × 831 × 1371 × 341231
LCM(68226,68246) = 2328075798