What is the Least Common Multiple of 31836 and 31848?

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 31836 and 31848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31836 and 31848, than apply into the LCM equation.

GCF(31836,31848) = 12
LCM(31836,31848) = ( 31836 × 31848) / 12
LCM(31836,31848) = 1013912928 / 12
LCM(31836,31848) = 84492744

Least Common Multiple (LCM) of 31836 and 31848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31836 and 31848. First we will calculate the prime factors of 31836 and 31848.

Prime Factorization of 31836

Prime Factorization of 31848

Now multiplying the highest exponent prime factors to calculate the LCM of 31836 and 31848.

LCM(31836,31848) = 2³ × 3¹ × 7¹ × 379¹ × 1327¹
LCM(31836,31848) = 84492744