What is the Least Common Multiple of 41520 and 41538?

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 41520 and 41538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41520 and 41538, than apply into the LCM equation.

GCF(41520,41538) = 6
LCM(41520,41538) = ( 41520 × 41538) / 6
LCM(41520,41538) = 1724657760 / 6
LCM(41520,41538) = 287442960

Least Common Multiple (LCM) of 41520 and 41538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41520 and 41538. First we will calculate the prime factors of 41520 and 41538.

Prime Factorization of 41520

Prime Factorization of 41538

Now multiplying the highest exponent prime factors to calculate the LCM of 41520 and 41538.

LCM(41520,41538) = 2⁴ × 3¹ × 5¹ × 173¹ × 7¹ × 23¹ × 43¹
LCM(41520,41538) = 287442960