What is the Least Common Multiple of 66912 and 66930?

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 66912 and 66930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66912 and 66930, than apply into the LCM equation.

GCF(66912,66930) = 6
LCM(66912,66930) = ( 66912 × 66930) / 6
LCM(66912,66930) = 4478420160 / 6
LCM(66912,66930) = 746403360

Least Common Multiple (LCM) of 66912 and 66930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66912 and 66930. First we will calculate the prime factors of 66912 and 66930.

Prime Factorization of 66912

Prime Factorization of 66930

Now multiplying the highest exponent prime factors to calculate the LCM of 66912 and 66930.

LCM(66912,66930) = 2⁵ × 3¹ × 17¹ × 41¹ × 5¹ × 23¹ × 97¹
LCM(66912,66930) = 746403360