What is the Least Common Multiple of 27280 and 27285?

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 27280 and 27285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27280 and 27285, than apply into the LCM equation.

GCF(27280,27285) = 5
LCM(27280,27285) = ( 27280 × 27285) / 5
LCM(27280,27285) = 744334800 / 5
LCM(27280,27285) = 148866960

Least Common Multiple (LCM) of 27280 and 27285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27280 and 27285. First we will calculate the prime factors of 27280 and 27285.

Prime Factorization of 27280

Prime Factorization of 27285

Now multiplying the highest exponent prime factors to calculate the LCM of 27280 and 27285.

LCM(27280,27285) = 2⁴ × 5¹ × 11¹ × 31¹ × 3¹ × 17¹ × 107¹
LCM(27280,27285) = 148866960