What is the Least Common Multiple of 5218 and 5236?

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 5218 and 5236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5218 and 5236, than apply into the LCM equation.

GCF(5218,5236) = 2
LCM(5218,5236) = ( 5218 × 5236) / 2
LCM(5218,5236) = 27321448 / 2
LCM(5218,5236) = 13660724

Least Common Multiple (LCM) of 5218 and 5236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5218 and 5236. First we will calculate the prime factors of 5218 and 5236.

Prime Factorization of 5218

Prime Factorization of 5236

Now multiplying the highest exponent prime factors to calculate the LCM of 5218 and 5236.

LCM(5218,5236) = 2² × 2609¹ × 7¹ × 11¹ × 17¹
LCM(5218,5236) = 13660724