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What is the Least Common Multiple of 27640 and 27660?

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 27640 and 27660 is 38226120.

LCM(27640,27660) = 38226120

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Least Common Multiple of 27640 and 27660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27640 and 27660, than apply into the LCM equation.

GCF(27640,27660) = 20
LCM(27640,27660) = ( 27640 × 27660) / 20
LCM(27640,27660) = 764522400 / 20
LCM(27640,27660) = 38226120

Least Common Multiple (LCM) of 27640 and 27660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27640 and 27660. First we will calculate the prime factors of 27640 and 27660.

Prime Factorization of 27640

Prime factors of 27640 are 2, 5, 691. Prime factorization of 27640 in exponential form is:

27640 = 23 × 51 × 6911

Prime Factorization of 27660

Prime factors of 27660 are 2, 3, 5, 461. Prime factorization of 27660 in exponential form is:

27660 = 22 × 31 × 51 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 27640 and 27660.

LCM(27640,27660) = 23 × 51 × 6911 × 31 × 4611
LCM(27640,27660) = 38226120