What is the Least Common Multiple of 27640 and 27649?

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 of 27640 and 27649 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 27649, than apply into the LCM equation.

GCF(27640,27649) = 1
LCM(27640,27649) = ( 27640 × 27649) / 1
LCM(27640,27649) = 764218360 / 1
LCM(27640,27649) = 764218360

Least Common Multiple (LCM) of 27640 and 27649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27640 and 27649. First we will calculate the prime factors of 27640 and 27649.

Prime Factorization of 27640

Prime Factorization of 27649

Now multiplying the highest exponent prime factors to calculate the LCM of 27640 and 27649.

LCM(27640,27649) = 2³ × 5¹ × 691¹ × 43¹ × 643¹
LCM(27640,27649) = 764218360