What is the Least Common Multiple of 27280 and 27298?

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 27298 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 27298, than apply into the LCM equation.

GCF(27280,27298) = 2
LCM(27280,27298) = ( 27280 × 27298) / 2
LCM(27280,27298) = 744689440 / 2
LCM(27280,27298) = 372344720

Least Common Multiple (LCM) of 27280 and 27298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27280 and 27298. First we will calculate the prime factors of 27280 and 27298.

Prime Factorization of 27280

Prime Factorization of 27298

Now multiplying the highest exponent prime factors to calculate the LCM of 27280 and 27298.

LCM(27280,27298) = 2⁴ × 5¹ × 11¹ × 31¹ × 13649¹
LCM(27280,27298) = 372344720