What is the Least Common Multiple of 41840 and 41852?

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 41840 and 41852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41840 and 41852, than apply into the LCM equation.

GCF(41840,41852) = 4
LCM(41840,41852) = ( 41840 × 41852) / 4
LCM(41840,41852) = 1751087680 / 4
LCM(41840,41852) = 437771920

Least Common Multiple (LCM) of 41840 and 41852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41840 and 41852. First we will calculate the prime factors of 41840 and 41852.

Prime Factorization of 41840

Prime Factorization of 41852

Now multiplying the highest exponent prime factors to calculate the LCM of 41840 and 41852.

LCM(41840,41852) = 2⁴ × 5¹ × 523¹ × 10463¹
LCM(41840,41852) = 437771920