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What is the Least Common Multiple of 68666 and 68677?

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 68666 and 68677 is 4715774882.

LCM(68666,68677) = 4715774882

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Least Common Multiple of 68666 and 68677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68666 and 68677, than apply into the LCM equation.

GCF(68666,68677) = 1
LCM(68666,68677) = ( 68666 × 68677) / 1
LCM(68666,68677) = 4715774882 / 1
LCM(68666,68677) = 4715774882

Least Common Multiple (LCM) of 68666 and 68677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68666 and 68677. First we will calculate the prime factors of 68666 and 68677.

Prime Factorization of 68666

Prime factors of 68666 are 2, 13, 19, 139. Prime factorization of 68666 in exponential form is:

68666 = 21 × 131 × 191 × 1391

Prime Factorization of 68677

Prime factors of 68677 are 7, 9811. Prime factorization of 68677 in exponential form is:

68677 = 71 × 98111

Now multiplying the highest exponent prime factors to calculate the LCM of 68666 and 68677.

LCM(68666,68677) = 21 × 131 × 191 × 1391 × 71 × 98111
LCM(68666,68677) = 4715774882