What is the Least Common Multiple of 31040 and 31054?

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 31040 and 31054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31040 and 31054, than apply into the LCM equation.

GCF(31040,31054) = 2
LCM(31040,31054) = ( 31040 × 31054) / 2
LCM(31040,31054) = 963916160 / 2
LCM(31040,31054) = 481958080

Least Common Multiple (LCM) of 31040 and 31054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31040 and 31054. First we will calculate the prime factors of 31040 and 31054.

Prime Factorization of 31040

Prime Factorization of 31054

Now multiplying the highest exponent prime factors to calculate the LCM of 31040 and 31054.

LCM(31040,31054) = 2⁶ × 5¹ × 97¹ × 15527¹
LCM(31040,31054) = 481958080