What is the Least Common Multiple of 29930 and 29950?

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 29930 and 29950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29930 and 29950, than apply into the LCM equation.

GCF(29930,29950) = 10
LCM(29930,29950) = ( 29930 × 29950) / 10
LCM(29930,29950) = 896403500 / 10
LCM(29930,29950) = 89640350

Least Common Multiple (LCM) of 29930 and 29950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29930 and 29950. First we will calculate the prime factors of 29930 and 29950.

Prime Factorization of 29930

Prime Factorization of 29950

Now multiplying the highest exponent prime factors to calculate the LCM of 29930 and 29950.

LCM(29930,29950) = 2¹ × 5² × 41¹ × 73¹ × 599¹
LCM(29930,29950) = 89640350