What is the Least Common Multiple of 72894 and 72903?

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 72894 and 72903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72894 and 72903, than apply into the LCM equation.

GCF(72894,72903) = 3
LCM(72894,72903) = ( 72894 × 72903) / 3
LCM(72894,72903) = 5314191282 / 3
LCM(72894,72903) = 1771397094

Least Common Multiple (LCM) of 72894 and 72903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72894 and 72903. First we will calculate the prime factors of 72894 and 72903.

Prime Factorization of 72894

Prime Factorization of 72903

Now multiplying the highest exponent prime factors to calculate the LCM of 72894 and 72903.

LCM(72894,72903) = 2¹ × 3¹ × 12149¹ × 19¹ × 1279¹
LCM(72894,72903) = 1771397094