What is the Least Common Multiple of 4880 and 4891?

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 4880 and 4891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4880 and 4891, than apply into the LCM equation.

GCF(4880,4891) = 1
LCM(4880,4891) = ( 4880 × 4891) / 1
LCM(4880,4891) = 23868080 / 1
LCM(4880,4891) = 23868080

Least Common Multiple (LCM) of 4880 and 4891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4880 and 4891. First we will calculate the prime factors of 4880 and 4891.

Prime Factorization of 4880

Prime Factorization of 4891

Now multiplying the highest exponent prime factors to calculate the LCM of 4880 and 4891.

LCM(4880,4891) = 2⁴ × 5¹ × 61¹ × 67¹ × 73¹
LCM(4880,4891) = 23868080