What is the Least Common Multiple of 41505 and 41520?

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 41505 and 41520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41505 and 41520, than apply into the LCM equation.

GCF(41505,41520) = 15
LCM(41505,41520) = ( 41505 × 41520) / 15
LCM(41505,41520) = 1723287600 / 15
LCM(41505,41520) = 114885840

Least Common Multiple (LCM) of 41505 and 41520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41505 and 41520. First we will calculate the prime factors of 41505 and 41520.

Prime Factorization of 41505

Prime Factorization of 41520

Now multiplying the highest exponent prime factors to calculate the LCM of 41505 and 41520.

LCM(41505,41520) = 3¹ × 5¹ × 2767¹ × 2⁴ × 173¹
LCM(41505,41520) = 114885840