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What is the Least Common Multiple of 27578 and 27596?

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 27578 and 27596 is 380521244.

LCM(27578,27596) = 380521244

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Least Common Multiple of 27578 and 27596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27578 and 27596, than apply into the LCM equation.

GCF(27578,27596) = 2
LCM(27578,27596) = ( 27578 × 27596) / 2
LCM(27578,27596) = 761042488 / 2
LCM(27578,27596) = 380521244

Least Common Multiple (LCM) of 27578 and 27596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27578 and 27596. First we will calculate the prime factors of 27578 and 27596.

Prime Factorization of 27578

Prime factors of 27578 are 2, 13789. Prime factorization of 27578 in exponential form is:

27578 = 21 × 137891

Prime Factorization of 27596

Prime factors of 27596 are 2, 6899. Prime factorization of 27596 in exponential form is:

27596 = 22 × 68991

Now multiplying the highest exponent prime factors to calculate the LCM of 27578 and 27596.

LCM(27578,27596) = 22 × 137891 × 68991
LCM(27578,27596) = 380521244