What is the Least Common Multiple of 906 and 923?

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 906 and 923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 906 and 923, than apply into the LCM equation.

GCF(906,923) = 1
LCM(906,923) = ( 906 × 923) / 1
LCM(906,923) = 836238 / 1
LCM(906,923) = 836238

Least Common Multiple (LCM) of 906 and 923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 906 and 923. First we will calculate the prime factors of 906 and 923.

Prime Factorization of 906

Prime Factorization of 923

Now multiplying the highest exponent prime factors to calculate the LCM of 906 and 923.

LCM(906,923) = 2¹ × 3¹ × 151¹ × 13¹ × 71¹
LCM(906,923) = 836238