What is the Least Common Multiple of 72930 and 72950?

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 72930 and 72950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72930 and 72950, than apply into the LCM equation.

GCF(72930,72950) = 10
LCM(72930,72950) = ( 72930 × 72950) / 10
LCM(72930,72950) = 5320243500 / 10
LCM(72930,72950) = 532024350

Least Common Multiple (LCM) of 72930 and 72950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72930 and 72950. First we will calculate the prime factors of 72930 and 72950.

Prime Factorization of 72930

Prime Factorization of 72950

Now multiplying the highest exponent prime factors to calculate the LCM of 72930 and 72950.

LCM(72930,72950) = 2¹ × 3¹ × 5² × 11¹ × 13¹ × 17¹ × 1459¹
LCM(72930,72950) = 532024350