What is the Least Common Multiple of 5249 and 5268?

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 5249 and 5268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5249 and 5268, than apply into the LCM equation.

GCF(5249,5268) = 1
LCM(5249,5268) = ( 5249 × 5268) / 1
LCM(5249,5268) = 27651732 / 1
LCM(5249,5268) = 27651732

Least Common Multiple (LCM) of 5249 and 5268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5249 and 5268. First we will calculate the prime factors of 5249 and 5268.

Prime Factorization of 5249

Prime Factorization of 5268

Now multiplying the highest exponent prime factors to calculate the LCM of 5249 and 5268.

LCM(5249,5268) = 29¹ × 181¹ × 2² × 3¹ × 439¹
LCM(5249,5268) = 27651732