What is the Least Common Multiple of 5236 and 5248?

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 5236 and 5248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5236 and 5248, than apply into the LCM equation.

GCF(5236,5248) = 4
LCM(5236,5248) = ( 5236 × 5248) / 4
LCM(5236,5248) = 27478528 / 4
LCM(5236,5248) = 6869632

Least Common Multiple (LCM) of 5236 and 5248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5236 and 5248. First we will calculate the prime factors of 5236 and 5248.

Prime Factorization of 5236

Prime Factorization of 5248

Now multiplying the highest exponent prime factors to calculate the LCM of 5236 and 5248.

LCM(5236,5248) = 2⁷ × 7¹ × 11¹ × 17¹ × 41¹
LCM(5236,5248) = 6869632