What is the Least Common Multiple of 6912 and 6930?

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 6912 and 6930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6912 and 6930, than apply into the LCM equation.

GCF(6912,6930) = 18
LCM(6912,6930) = ( 6912 × 6930) / 18
LCM(6912,6930) = 47900160 / 18
LCM(6912,6930) = 2661120

Least Common Multiple (LCM) of 6912 and 6930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6912 and 6930. First we will calculate the prime factors of 6912 and 6930.

Prime Factorization of 6912

Prime Factorization of 6930

Now multiplying the highest exponent prime factors to calculate the LCM of 6912 and 6930.

LCM(6912,6930) = 2⁸ × 3³ × 5¹ × 7¹ × 11¹
LCM(6912,6930) = 2661120