What is the Least Common Multiple of 27280 and 27290?

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 27290 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 27290, than apply into the LCM equation.

GCF(27280,27290) = 10
LCM(27280,27290) = ( 27280 × 27290) / 10
LCM(27280,27290) = 744471200 / 10
LCM(27280,27290) = 74447120

Least Common Multiple (LCM) of 27280 and 27290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27280 and 27290. First we will calculate the prime factors of 27280 and 27290.

Prime Factorization of 27280

Prime Factorization of 27290

Now multiplying the highest exponent prime factors to calculate the LCM of 27280 and 27290.

LCM(27280,27290) = 2⁴ × 5¹ × 11¹ × 31¹ × 2729¹
LCM(27280,27290) = 74447120