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What is the Least Common Multiple of 26666 and 26672?

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 26666 and 26672 is 355617776.

LCM(26666,26672) = 355617776

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Least Common Multiple of 26666 and 26672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26666 and 26672, than apply into the LCM equation.

GCF(26666,26672) = 2
LCM(26666,26672) = ( 26666 × 26672) / 2
LCM(26666,26672) = 711235552 / 2
LCM(26666,26672) = 355617776

Least Common Multiple (LCM) of 26666 and 26672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26666 and 26672. First we will calculate the prime factors of 26666 and 26672.

Prime Factorization of 26666

Prime factors of 26666 are 2, 67, 199. Prime factorization of 26666 in exponential form is:

26666 = 21 × 671 × 1991

Prime Factorization of 26672

Prime factors of 26672 are 2, 1667. Prime factorization of 26672 in exponential form is:

26672 = 24 × 16671

Now multiplying the highest exponent prime factors to calculate the LCM of 26666 and 26672.

LCM(26666,26672) = 24 × 671 × 1991 × 16671
LCM(26666,26672) = 355617776