What is the Least Common Multiple of 5430 and 5450?

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 5430 and 5450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5430 and 5450, than apply into the LCM equation.

GCF(5430,5450) = 10
LCM(5430,5450) = ( 5430 × 5450) / 10
LCM(5430,5450) = 29593500 / 10
LCM(5430,5450) = 2959350

Least Common Multiple (LCM) of 5430 and 5450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5430 and 5450. First we will calculate the prime factors of 5430 and 5450.

Prime Factorization of 5430

Prime Factorization of 5450

Now multiplying the highest exponent prime factors to calculate the LCM of 5430 and 5450.

LCM(5430,5450) = 2¹ × 3¹ × 5² × 181¹ × 109¹
LCM(5430,5450) = 2959350