What is the Least Common Multiple of 45270 and 45278?

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 45270 and 45278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45270 and 45278, than apply into the LCM equation.

GCF(45270,45278) = 2
LCM(45270,45278) = ( 45270 × 45278) / 2
LCM(45270,45278) = 2049735060 / 2
LCM(45270,45278) = 1024867530

Least Common Multiple (LCM) of 45270 and 45278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45270 and 45278. First we will calculate the prime factors of 45270 and 45278.

Prime Factorization of 45270

Prime Factorization of 45278

Now multiplying the highest exponent prime factors to calculate the LCM of 45270 and 45278.

LCM(45270,45278) = 2¹ × 3² × 5¹ × 503¹ × 22639¹
LCM(45270,45278) = 1024867530