What is the Least Common Multiple of 31907 and 31915?

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 31907 and 31915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31907 and 31915, than apply into the LCM equation.

GCF(31907,31915) = 1
LCM(31907,31915) = ( 31907 × 31915) / 1
LCM(31907,31915) = 1018311905 / 1
LCM(31907,31915) = 1018311905

Least Common Multiple (LCM) of 31907 and 31915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31907 and 31915. First we will calculate the prime factors of 31907 and 31915.

Prime Factorization of 31907

Prime Factorization of 31915

Now multiplying the highest exponent prime factors to calculate the LCM of 31907 and 31915.

LCM(31907,31915) = 31907¹ × 5¹ × 13¹ × 491¹
LCM(31907,31915) = 1018311905