What is the Least Common Multiple of 5264 and 5272?

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 5264 and 5272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5264 and 5272, than apply into the LCM equation.

GCF(5264,5272) = 8
LCM(5264,5272) = ( 5264 × 5272) / 8
LCM(5264,5272) = 27751808 / 8
LCM(5264,5272) = 3468976

Least Common Multiple (LCM) of 5264 and 5272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5264 and 5272. First we will calculate the prime factors of 5264 and 5272.

Prime Factorization of 5264

Prime Factorization of 5272

Now multiplying the highest exponent prime factors to calculate the LCM of 5264 and 5272.

LCM(5264,5272) = 2⁴ × 7¹ × 47¹ × 659¹
LCM(5264,5272) = 3468976