What is the Least Common Multiple of 40940 and 40950?

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 40940 and 40950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40940 and 40950, than apply into the LCM equation.

GCF(40940,40950) = 10
LCM(40940,40950) = ( 40940 × 40950) / 10
LCM(40940,40950) = 1676493000 / 10
LCM(40940,40950) = 167649300

Least Common Multiple (LCM) of 40940 and 40950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40940 and 40950. First we will calculate the prime factors of 40940 and 40950.

Prime Factorization of 40940

Prime Factorization of 40950

Now multiplying the highest exponent prime factors to calculate the LCM of 40940 and 40950.

LCM(40940,40950) = 2² × 5² × 23¹ × 89¹ × 3² × 7¹ × 13¹
LCM(40940,40950) = 167649300