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What is the Least Common Multiple of 68220 and 68226?

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 68220 and 68226 is 775729620.

LCM(68220,68226) = 775729620

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Least Common Multiple of 68220 and 68226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68220 and 68226, than apply into the LCM equation.

GCF(68220,68226) = 6
LCM(68220,68226) = ( 68220 × 68226) / 6
LCM(68220,68226) = 4654377720 / 6
LCM(68220,68226) = 775729620

Least Common Multiple (LCM) of 68220 and 68226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68220 and 68226. First we will calculate the prime factors of 68220 and 68226.

Prime Factorization of 68220

Prime factors of 68220 are 2, 3, 5, 379. Prime factorization of 68220 in exponential form is:

68220 = 22 × 32 × 51 × 3791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 68220 and 68226.

LCM(68220,68226) = 22 × 32 × 51 × 3791 × 831 × 1371
LCM(68220,68226) = 775729620