What is the Least Common Multiple of 5274 and 5291?

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 5274 and 5291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5274 and 5291, than apply into the LCM equation.

GCF(5274,5291) = 1
LCM(5274,5291) = ( 5274 × 5291) / 1
LCM(5274,5291) = 27904734 / 1
LCM(5274,5291) = 27904734

Least Common Multiple (LCM) of 5274 and 5291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5274 and 5291. First we will calculate the prime factors of 5274 and 5291.

Prime Factorization of 5274

Prime Factorization of 5291

Now multiplying the highest exponent prime factors to calculate the LCM of 5274 and 5291.

LCM(5274,5291) = 2¹ × 3² × 293¹ × 11¹ × 13¹ × 37¹
LCM(5274,5291) = 27904734