What is the Least Common Multiple of 31232 and 31246?

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 31232 and 31246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31232 and 31246, than apply into the LCM equation.

GCF(31232,31246) = 2
LCM(31232,31246) = ( 31232 × 31246) / 2
LCM(31232,31246) = 975875072 / 2
LCM(31232,31246) = 487937536

Least Common Multiple (LCM) of 31232 and 31246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31232 and 31246. First we will calculate the prime factors of 31232 and 31246.

Prime Factorization of 31232

Prime Factorization of 31246

Now multiplying the highest exponent prime factors to calculate the LCM of 31232 and 31246.

LCM(31232,31246) = 2⁹ × 61¹ × 17¹ × 919¹
LCM(31232,31246) = 487937536