What is the Least Common Multiple of 5208 and 5224?

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 5208 and 5224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5208 and 5224, than apply into the LCM equation.

GCF(5208,5224) = 8
LCM(5208,5224) = ( 5208 × 5224) / 8
LCM(5208,5224) = 27206592 / 8
LCM(5208,5224) = 3400824

Least Common Multiple (LCM) of 5208 and 5224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5208 and 5224. First we will calculate the prime factors of 5208 and 5224.

Prime Factorization of 5208

Prime Factorization of 5224

Now multiplying the highest exponent prime factors to calculate the LCM of 5208 and 5224.

LCM(5208,5224) = 2³ × 3¹ × 7¹ × 31¹ × 653¹
LCM(5208,5224) = 3400824