What is the Least Common Multiple of 5250 and 5261?

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 5250 and 5261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5250 and 5261, than apply into the LCM equation.

GCF(5250,5261) = 1
LCM(5250,5261) = ( 5250 × 5261) / 1
LCM(5250,5261) = 27620250 / 1
LCM(5250,5261) = 27620250

Least Common Multiple (LCM) of 5250 and 5261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5250 and 5261. First we will calculate the prime factors of 5250 and 5261.

Prime Factorization of 5250

Prime Factorization of 5261

Now multiplying the highest exponent prime factors to calculate the LCM of 5250 and 5261.

LCM(5250,5261) = 2¹ × 3¹ × 5³ × 7¹ × 5261¹
LCM(5250,5261) = 27620250