What is the Least Common Multiple of 5254 and 5270?

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 5254 and 5270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5254 and 5270, than apply into the LCM equation.

GCF(5254,5270) = 2
LCM(5254,5270) = ( 5254 × 5270) / 2
LCM(5254,5270) = 27688580 / 2
LCM(5254,5270) = 13844290

Least Common Multiple (LCM) of 5254 and 5270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5254 and 5270. First we will calculate the prime factors of 5254 and 5270.

Prime Factorization of 5254

Prime Factorization of 5270

Now multiplying the highest exponent prime factors to calculate the LCM of 5254 and 5270.

LCM(5254,5270) = 2¹ × 37¹ × 71¹ × 5¹ × 17¹ × 31¹
LCM(5254,5270) = 13844290