What is the Least Common Multiple of 72270 and 72278?

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 72270 and 72278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72270 and 72278, than apply into the LCM equation.

GCF(72270,72278) = 2
LCM(72270,72278) = ( 72270 × 72278) / 2
LCM(72270,72278) = 5223531060 / 2
LCM(72270,72278) = 2611765530

Least Common Multiple (LCM) of 72270 and 72278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72270 and 72278. First we will calculate the prime factors of 72270 and 72278.

Prime Factorization of 72270

Prime Factorization of 72278

Now multiplying the highest exponent prime factors to calculate the LCM of 72270 and 72278.

LCM(72270,72278) = 2¹ × 3² × 5¹ × 11¹ × 73¹ × 71¹ × 509¹
LCM(72270,72278) = 2611765530