What is the Least Common Multiple of 31005 and 31015?

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 31005 and 31015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31005 and 31015, than apply into the LCM equation.

GCF(31005,31015) = 5
LCM(31005,31015) = ( 31005 × 31015) / 5
LCM(31005,31015) = 961620075 / 5
LCM(31005,31015) = 192324015

Least Common Multiple (LCM) of 31005 and 31015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31005 and 31015. First we will calculate the prime factors of 31005 and 31015.

Prime Factorization of 31005

Prime Factorization of 31015

Now multiplying the highest exponent prime factors to calculate the LCM of 31005 and 31015.

LCM(31005,31015) = 3² × 5¹ × 13¹ × 53¹ × 6203¹
LCM(31005,31015) = 192324015