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What is the Least Common Multiple of 68409 and 68421?

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 68409 and 68421 is 1560204063.

LCM(68409,68421) = 1560204063

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Least Common Multiple of 68409 and 68421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68409 and 68421, than apply into the LCM equation.

GCF(68409,68421) = 3
LCM(68409,68421) = ( 68409 × 68421) / 3
LCM(68409,68421) = 4680612189 / 3
LCM(68409,68421) = 1560204063

Least Common Multiple (LCM) of 68409 and 68421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68409 and 68421. First we will calculate the prime factors of 68409 and 68421.

Prime Factorization of 68409

Prime factors of 68409 are 3, 11, 691. Prime factorization of 68409 in exponential form is:

68409 = 32 × 111 × 6911

Prime Factorization of 68421

Prime factors of 68421 are 3, 22807. Prime factorization of 68421 in exponential form is:

68421 = 31 × 228071

Now multiplying the highest exponent prime factors to calculate the LCM of 68409 and 68421.

LCM(68409,68421) = 32 × 111 × 6911 × 228071
LCM(68409,68421) = 1560204063