What is the Least Common Multiple of 5251 and 5269?

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 5251 and 5269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5251 and 5269, than apply into the LCM equation.

GCF(5251,5269) = 1
LCM(5251,5269) = ( 5251 × 5269) / 1
LCM(5251,5269) = 27667519 / 1
LCM(5251,5269) = 27667519

Least Common Multiple (LCM) of 5251 and 5269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5251 and 5269. First we will calculate the prime factors of 5251 and 5269.

Prime Factorization of 5251

Prime Factorization of 5269

Now multiplying the highest exponent prime factors to calculate the LCM of 5251 and 5269.

LCM(5251,5269) = 59¹ × 89¹ × 11¹ × 479¹
LCM(5251,5269) = 27667519