What is the Least Common Multiple of 41940 and 41949?

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 41940 and 41949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41940 and 41949, than apply into the LCM equation.

GCF(41940,41949) = 9
LCM(41940,41949) = ( 41940 × 41949) / 9
LCM(41940,41949) = 1759341060 / 9
LCM(41940,41949) = 195482340

Least Common Multiple (LCM) of 41940 and 41949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41940 and 41949. First we will calculate the prime factors of 41940 and 41949.

Prime Factorization of 41940

Prime Factorization of 41949

Now multiplying the highest exponent prime factors to calculate the LCM of 41940 and 41949.

LCM(41940,41949) = 2² × 3² × 5¹ × 233¹ × 59¹ × 79¹
LCM(41940,41949) = 195482340