What is the Least Common Multiple of 31515 and 31525?

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 31515 and 31525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31515 and 31525, than apply into the LCM equation.

GCF(31515,31525) = 5
LCM(31515,31525) = ( 31515 × 31525) / 5
LCM(31515,31525) = 993510375 / 5
LCM(31515,31525) = 198702075

Least Common Multiple (LCM) of 31515 and 31525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31515 and 31525. First we will calculate the prime factors of 31515 and 31525.

Prime Factorization of 31515

Prime Factorization of 31525

Now multiplying the highest exponent prime factors to calculate the LCM of 31515 and 31525.

LCM(31515,31525) = 3¹ × 5² × 11¹ × 191¹ × 13¹ × 97¹
LCM(31515,31525) = 198702075