What is the Least Common Multiple of 69940 and 69950?

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 69940 and 69950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69940 and 69950, than apply into the LCM equation.

GCF(69940,69950) = 10
LCM(69940,69950) = ( 69940 × 69950) / 10
LCM(69940,69950) = 4892303000 / 10
LCM(69940,69950) = 489230300

Least Common Multiple (LCM) of 69940 and 69950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69940 and 69950. First we will calculate the prime factors of 69940 and 69950.

Prime Factorization of 69940

Prime Factorization of 69950

Now multiplying the highest exponent prime factors to calculate the LCM of 69940 and 69950.

LCM(69940,69950) = 2² × 5² × 13¹ × 269¹ × 1399¹
LCM(69940,69950) = 489230300