What is the Least Common Multiple of 27574 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 of 27574 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 27574 and 27580, than apply into the LCM equation.

GCF(27574,27580) = 2
LCM(27574,27580) = ( 27574 × 27580) / 2
LCM(27574,27580) = 760490920 / 2
LCM(27574,27580) = 380245460

Least Common Multiple (LCM) of 27574 and 27580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27574 and 27580. First we will calculate the prime factors of 27574 and 27580.

Prime Factorization of 27574

Prime Factorization of 27580

Now multiplying the highest exponent prime factors to calculate the LCM of 27574 and 27580.

LCM(27574,27580) = 2² × 17¹ × 811¹ × 5¹ × 7¹ × 197¹
LCM(27574,27580) = 380245460