What is the Least Common Multiple of 918 and 930?

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 918 and 930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 918 and 930, than apply into the LCM equation.

GCF(918,930) = 6
LCM(918,930) = ( 918 × 930) / 6
LCM(918,930) = 853740 / 6
LCM(918,930) = 142290

Least Common Multiple (LCM) of 918 and 930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 918 and 930. First we will calculate the prime factors of 918 and 930.

Prime Factorization of 918

Prime Factorization of 930

Now multiplying the highest exponent prime factors to calculate the LCM of 918 and 930.

LCM(918,930) = 2¹ × 3³ × 17¹ × 5¹ × 31¹
LCM(918,930) = 142290