What is the Least Common Multiple of 31920 and 31924?

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 31924 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 31924, than apply into the LCM equation.

GCF(31920,31924) = 4
LCM(31920,31924) = ( 31920 × 31924) / 4
LCM(31920,31924) = 1019014080 / 4
LCM(31920,31924) = 254753520

Least Common Multiple (LCM) of 31920 and 31924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31920 and 31924. First we will calculate the prime factors of 31920 and 31924.

Prime Factorization of 31920

Prime Factorization of 31924

Now multiplying the highest exponent prime factors to calculate the LCM of 31920 and 31924.

LCM(31920,31924) = 2⁴ × 3¹ × 5¹ × 7¹ × 19¹ × 23¹ × 347¹
LCM(31920,31924) = 254753520