What is the Least Common Multiple of 69930 and 69940?

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 69930 and 69940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69930 and 69940, than apply into the LCM equation.

GCF(69930,69940) = 10
LCM(69930,69940) = ( 69930 × 69940) / 10
LCM(69930,69940) = 4890904200 / 10
LCM(69930,69940) = 489090420

Least Common Multiple (LCM) of 69930 and 69940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69930 and 69940. First we will calculate the prime factors of 69930 and 69940.

Prime Factorization of 69930

Prime Factorization of 69940

Now multiplying the highest exponent prime factors to calculate the LCM of 69930 and 69940.

LCM(69930,69940) = 2² × 3³ × 5¹ × 7¹ × 37¹ × 13¹ × 269¹
LCM(69930,69940) = 489090420