What is the Least Common Multiple of 41280 and 41296?

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 41280 and 41296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41280 and 41296, than apply into the LCM equation.

GCF(41280,41296) = 16
LCM(41280,41296) = ( 41280 × 41296) / 16
LCM(41280,41296) = 1704698880 / 16
LCM(41280,41296) = 106543680

Least Common Multiple (LCM) of 41280 and 41296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41280 and 41296. First we will calculate the prime factors of 41280 and 41296.

Prime Factorization of 41280

Prime Factorization of 41296

Now multiplying the highest exponent prime factors to calculate the LCM of 41280 and 41296.

LCM(41280,41296) = 2⁶ × 3¹ × 5¹ × 43¹ × 29¹ × 89¹
LCM(41280,41296) = 106543680