What is the Least Common Multiple of 18912 and 18930?

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 18912 and 18930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18912 and 18930, than apply into the LCM equation.

GCF(18912,18930) = 6
LCM(18912,18930) = ( 18912 × 18930) / 6
LCM(18912,18930) = 358004160 / 6
LCM(18912,18930) = 59667360

Least Common Multiple (LCM) of 18912 and 18930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18912 and 18930. First we will calculate the prime factors of 18912 and 18930.

Prime Factorization of 18912

Prime Factorization of 18930

Now multiplying the highest exponent prime factors to calculate the LCM of 18912 and 18930.

LCM(18912,18930) = 2⁵ × 3¹ × 197¹ × 5¹ × 631¹
LCM(18912,18930) = 59667360