What is the Least Common Multiple of 5252 and 5260?

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 5252 and 5260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5252 and 5260, than apply into the LCM equation.

GCF(5252,5260) = 4
LCM(5252,5260) = ( 5252 × 5260) / 4
LCM(5252,5260) = 27625520 / 4
LCM(5252,5260) = 6906380

Least Common Multiple (LCM) of 5252 and 5260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5252 and 5260. First we will calculate the prime factors of 5252 and 5260.

Prime Factorization of 5252

Prime Factorization of 5260

Now multiplying the highest exponent prime factors to calculate the LCM of 5252 and 5260.

LCM(5252,5260) = 2² × 13¹ × 101¹ × 5¹ × 263¹
LCM(5252,5260) = 6906380