What is the Least Common Multiple of 41905 and 41920?

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 41905 and 41920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41905 and 41920, than apply into the LCM equation.

GCF(41905,41920) = 5
LCM(41905,41920) = ( 41905 × 41920) / 5
LCM(41905,41920) = 1756657600 / 5
LCM(41905,41920) = 351331520

Least Common Multiple (LCM) of 41905 and 41920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41905 and 41920. First we will calculate the prime factors of 41905 and 41920.

Prime Factorization of 41905

Prime Factorization of 41920

Now multiplying the highest exponent prime factors to calculate the LCM of 41905 and 41920.

LCM(41905,41920) = 5¹ × 17² × 29¹ × 2⁶ × 131¹
LCM(41905,41920) = 351331520