What is the Least Common Multiple of 5280 and 5299?

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 5280 and 5299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5280 and 5299, than apply into the LCM equation.

GCF(5280,5299) = 1
LCM(5280,5299) = ( 5280 × 5299) / 1
LCM(5280,5299) = 27978720 / 1
LCM(5280,5299) = 27978720

Least Common Multiple (LCM) of 5280 and 5299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5280 and 5299. First we will calculate the prime factors of 5280 and 5299.

Prime Factorization of 5280

Prime Factorization of 5299

Now multiplying the highest exponent prime factors to calculate the LCM of 5280 and 5299.

LCM(5280,5299) = 2⁵ × 3¹ × 5¹ × 11¹ × 7¹ × 757¹
LCM(5280,5299) = 27978720