What is the Least Common Multiple of 72880 and 72891?

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 72891 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 72891, than apply into the LCM equation.

GCF(72880,72891) = 1
LCM(72880,72891) = ( 72880 × 72891) / 1
LCM(72880,72891) = 5312296080 / 1
LCM(72880,72891) = 5312296080

Least Common Multiple (LCM) of 72880 and 72891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72880 and 72891. First we will calculate the prime factors of 72880 and 72891.

Prime Factorization of 72880

Prime Factorization of 72891

Now multiplying the highest exponent prime factors to calculate the LCM of 72880 and 72891.

LCM(72880,72891) = 2⁴ × 5¹ × 911¹ × 3² × 7¹ × 13¹ × 89¹
LCM(72880,72891) = 5312296080