What is the Least Common Multiple of 31050 and 31060?

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 31050 and 31060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31050 and 31060, than apply into the LCM equation.

GCF(31050,31060) = 10
LCM(31050,31060) = ( 31050 × 31060) / 10
LCM(31050,31060) = 964413000 / 10
LCM(31050,31060) = 96441300

Least Common Multiple (LCM) of 31050 and 31060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31050 and 31060. First we will calculate the prime factors of 31050 and 31060.

Prime Factorization of 31050

Prime Factorization of 31060

Now multiplying the highest exponent prime factors to calculate the LCM of 31050 and 31060.

LCM(31050,31060) = 2² × 3³ × 5² × 23¹ × 1553¹
LCM(31050,31060) = 96441300