What is the Least Common Multiple of 31920 and 31929?

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 31920 and 31929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31920 and 31929, than apply into the LCM equation.

GCF(31920,31929) = 3
LCM(31920,31929) = ( 31920 × 31929) / 3
LCM(31920,31929) = 1019173680 / 3
LCM(31920,31929) = 339724560

Least Common Multiple (LCM) of 31920 and 31929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31920 and 31929. First we will calculate the prime factors of 31920 and 31929.

Prime Factorization of 31920

Prime Factorization of 31929

Now multiplying the highest exponent prime factors to calculate the LCM of 31920 and 31929.

LCM(31920,31929) = 2⁴ × 3¹ × 5¹ × 7¹ × 19¹ × 29¹ × 367¹
LCM(31920,31929) = 339724560