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What is the Least Common Multiple of 68673 and 68684?

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 68673 and 68684 is 428794212.

LCM(68673,68684) = 428794212

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Least Common Multiple of 68673 and 68684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68673 and 68684, than apply into the LCM equation.

GCF(68673,68684) = 11
LCM(68673,68684) = ( 68673 × 68684) / 11
LCM(68673,68684) = 4716736332 / 11
LCM(68673,68684) = 428794212

Least Common Multiple (LCM) of 68673 and 68684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68673 and 68684. First we will calculate the prime factors of 68673 and 68684.

Prime Factorization of 68673

Prime factors of 68673 are 3, 11, 2081. Prime factorization of 68673 in exponential form is:

68673 = 31 × 111 × 20811

Prime Factorization of 68684

Prime factors of 68684 are 2, 7, 11, 223. Prime factorization of 68684 in exponential form is:

68684 = 22 × 71 × 111 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 68673 and 68684.

LCM(68673,68684) = 31 × 111 × 20811 × 22 × 71 × 2231
LCM(68673,68684) = 428794212