What is the Least Common Multiple of 27250 and 27270?

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 27250 and 27270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27250 and 27270, than apply into the LCM equation.

GCF(27250,27270) = 10
LCM(27250,27270) = ( 27250 × 27270) / 10
LCM(27250,27270) = 743107500 / 10
LCM(27250,27270) = 74310750

Least Common Multiple (LCM) of 27250 and 27270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27250 and 27270. First we will calculate the prime factors of 27250 and 27270.

Prime Factorization of 27250

Prime Factorization of 27270

Now multiplying the highest exponent prime factors to calculate the LCM of 27250 and 27270.

LCM(27250,27270) = 2¹ × 5³ × 109¹ × 3³ × 101¹
LCM(27250,27270) = 74310750