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What is the Least Common Multiple of 12664 and 12677?

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 12664 and 12677 is 160541528.

LCM(12664,12677) = 160541528

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Least Common Multiple of 12664 and 12677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12664 and 12677, than apply into the LCM equation.

GCF(12664,12677) = 1
LCM(12664,12677) = ( 12664 × 12677) / 1
LCM(12664,12677) = 160541528 / 1
LCM(12664,12677) = 160541528

Least Common Multiple (LCM) of 12664 and 12677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12664 and 12677. First we will calculate the prime factors of 12664 and 12677.

Prime Factorization of 12664

Prime factors of 12664 are 2, 1583. Prime factorization of 12664 in exponential form is:

12664 = 23 × 15831

Prime Factorization of 12677

Prime factors of 12677 are 7, 1811. Prime factorization of 12677 in exponential form is:

12677 = 71 × 18111

Now multiplying the highest exponent prime factors to calculate the LCM of 12664 and 12677.

LCM(12664,12677) = 23 × 15831 × 71 × 18111
LCM(12664,12677) = 160541528