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What is the Least Common Multiple of 27653 and 27668?

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 27653 and 27668 is 765103204.

LCM(27653,27668) = 765103204

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Least Common Multiple of 27653 and 27668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27653 and 27668, than apply into the LCM equation.

GCF(27653,27668) = 1
LCM(27653,27668) = ( 27653 × 27668) / 1
LCM(27653,27668) = 765103204 / 1
LCM(27653,27668) = 765103204

Least Common Multiple (LCM) of 27653 and 27668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27653 and 27668. First we will calculate the prime factors of 27653 and 27668.

Prime Factorization of 27653

Prime factors of 27653 are 27653. Prime factorization of 27653 in exponential form is:

27653 = 276531

Prime Factorization of 27668

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

27668 = 22 × 69171

Now multiplying the highest exponent prime factors to calculate the LCM of 27653 and 27668.

LCM(27653,27668) = 276531 × 22 × 69171
LCM(27653,27668) = 765103204