What is the Least Common Multiple of 72912 and 72930?

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 72912 and 72930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72912 and 72930, than apply into the LCM equation.

GCF(72912,72930) = 6
LCM(72912,72930) = ( 72912 × 72930) / 6
LCM(72912,72930) = 5317472160 / 6
LCM(72912,72930) = 886245360

Least Common Multiple (LCM) of 72912 and 72930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72912 and 72930. First we will calculate the prime factors of 72912 and 72930.

Prime Factorization of 72912

Prime Factorization of 72930

Now multiplying the highest exponent prime factors to calculate the LCM of 72912 and 72930.

LCM(72912,72930) = 2⁴ × 3¹ × 7² × 31¹ × 5¹ × 11¹ × 13¹ × 17¹
LCM(72912,72930) = 886245360