What is the Least Common Multiple of 5280 and 5295?

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 5295 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 5295, than apply into the LCM equation.

GCF(5280,5295) = 15
LCM(5280,5295) = ( 5280 × 5295) / 15
LCM(5280,5295) = 27957600 / 15
LCM(5280,5295) = 1863840

Least Common Multiple (LCM) of 5280 and 5295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5280 and 5295. First we will calculate the prime factors of 5280 and 5295.

Prime Factorization of 5280

Prime Factorization of 5295

Now multiplying the highest exponent prime factors to calculate the LCM of 5280 and 5295.

LCM(5280,5295) = 2⁵ × 3¹ × 5¹ × 11¹ × 353¹
LCM(5280,5295) = 1863840