What is the Least Common Multiple of 31350 and 31354?

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 31350 and 31354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31350 and 31354, than apply into the LCM equation.

GCF(31350,31354) = 2
LCM(31350,31354) = ( 31350 × 31354) / 2
LCM(31350,31354) = 982947900 / 2
LCM(31350,31354) = 491473950

Least Common Multiple (LCM) of 31350 and 31354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31350 and 31354. First we will calculate the prime factors of 31350 and 31354.

Prime Factorization of 31350

Prime Factorization of 31354

Now multiplying the highest exponent prime factors to calculate the LCM of 31350 and 31354.

LCM(31350,31354) = 2¹ × 3¹ × 5² × 11¹ × 19¹ × 61¹ × 257¹
LCM(31350,31354) = 491473950