What is the Least Common Multiple of 31914 and 31923?

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 31914 and 31923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31914 and 31923, than apply into the LCM equation.

GCF(31914,31923) = 9
LCM(31914,31923) = ( 31914 × 31923) / 9
LCM(31914,31923) = 1018790622 / 9
LCM(31914,31923) = 113198958

Least Common Multiple (LCM) of 31914 and 31923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31914 and 31923. First we will calculate the prime factors of 31914 and 31923.

Prime Factorization of 31914

Prime Factorization of 31923

Now multiplying the highest exponent prime factors to calculate the LCM of 31914 and 31923.

LCM(31914,31923) = 2¹ × 3⁴ × 197¹ × 3547¹
LCM(31914,31923) = 113198958