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What is the Least Common Multiple of 27562 and 27580?

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 27562 and 27580 is 380079980.

LCM(27562,27580) = 380079980

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Least Common Multiple of 27562 and 27580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27562 and 27580, than apply into the LCM equation.

GCF(27562,27580) = 2
LCM(27562,27580) = ( 27562 × 27580) / 2
LCM(27562,27580) = 760159960 / 2
LCM(27562,27580) = 380079980

Least Common Multiple (LCM) of 27562 and 27580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27562 and 27580. First we will calculate the prime factors of 27562 and 27580.

Prime Factorization of 27562

Prime factors of 27562 are 2, 13781. Prime factorization of 27562 in exponential form is:

27562 = 21 × 137811

Prime Factorization of 27580

Prime factors of 27580 are 2, 5, 7, 197. Prime factorization of 27580 in exponential form is:

27580 = 22 × 51 × 71 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 27562 and 27580.

LCM(27562,27580) = 22 × 137811 × 51 × 71 × 1971
LCM(27562,27580) = 380079980