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What is the Least Common Multiple of 27668 and 27680?

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 27668 and 27680 is 191462560.

LCM(27668,27680) = 191462560

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Least Common Multiple of 27668 and 27680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27668 and 27680, than apply into the LCM equation.

GCF(27668,27680) = 4
LCM(27668,27680) = ( 27668 × 27680) / 4
LCM(27668,27680) = 765850240 / 4
LCM(27668,27680) = 191462560

Least Common Multiple (LCM) of 27668 and 27680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27668 and 27680. First we will calculate the prime factors of 27668 and 27680.

Prime Factorization of 27668

Prime factors of 27668 are 2, 6917. Prime factorization of 27668 in exponential form is:

27668 = 22 × 69171

Prime Factorization of 27680

Prime factors of 27680 are 2, 5, 173. Prime factorization of 27680 in exponential form is:

27680 = 25 × 51 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 27668 and 27680.

LCM(27668,27680) = 25 × 69171 × 51 × 1731
LCM(27668,27680) = 191462560