What is the Least Common Multiple of 72880 and 72894?

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 72880 and 72894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72880 and 72894, than apply into the LCM equation.

GCF(72880,72894) = 2
LCM(72880,72894) = ( 72880 × 72894) / 2
LCM(72880,72894) = 5312514720 / 2
LCM(72880,72894) = 2656257360

Least Common Multiple (LCM) of 72880 and 72894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72880 and 72894. First we will calculate the prime factors of 72880 and 72894.

Prime Factorization of 72880

Prime Factorization of 72894

Now multiplying the highest exponent prime factors to calculate the LCM of 72880 and 72894.

LCM(72880,72894) = 2⁴ × 5¹ × 911¹ × 3¹ × 12149¹
LCM(72880,72894) = 2656257360