What is the Least Common Multiple of 27209 and 27218?

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 27209 and 27218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27209 and 27218, than apply into the LCM equation.

GCF(27209,27218) = 1
LCM(27209,27218) = ( 27209 × 27218) / 1
LCM(27209,27218) = 740574562 / 1
LCM(27209,27218) = 740574562

Least Common Multiple (LCM) of 27209 and 27218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27209 and 27218. First we will calculate the prime factors of 27209 and 27218.

Prime Factorization of 27209

Prime Factorization of 27218

Now multiplying the highest exponent prime factors to calculate the LCM of 27209 and 27218.

LCM(27209,27218) = 7¹ × 13² × 23¹ × 2¹ × 31¹ × 439¹
LCM(27209,27218) = 740574562