What is the Least Common Multiple of 27240 and 27258?

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 27240 and 27258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27240 and 27258, than apply into the LCM equation.

GCF(27240,27258) = 6
LCM(27240,27258) = ( 27240 × 27258) / 6
LCM(27240,27258) = 742507920 / 6
LCM(27240,27258) = 123751320

Least Common Multiple (LCM) of 27240 and 27258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27240 and 27258. First we will calculate the prime factors of 27240 and 27258.

Prime Factorization of 27240

Prime Factorization of 27258

Now multiplying the highest exponent prime factors to calculate the LCM of 27240 and 27258.

LCM(27240,27258) = 2³ × 3¹ × 5¹ × 227¹ × 7¹ × 11¹ × 59¹
LCM(27240,27258) = 123751320