What is the Least Common Multiple of 31538 and 31553?

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 31538 and 31553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31538 and 31553, than apply into the LCM equation.

GCF(31538,31553) = 1
LCM(31538,31553) = ( 31538 × 31553) / 1
LCM(31538,31553) = 995118514 / 1
LCM(31538,31553) = 995118514

Least Common Multiple (LCM) of 31538 and 31553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31538 and 31553. First we will calculate the prime factors of 31538 and 31553.

Prime Factorization of 31538

Prime Factorization of 31553

Now multiplying the highest exponent prime factors to calculate the LCM of 31538 and 31553.

LCM(31538,31553) = 2¹ × 13¹ × 1213¹ × 139¹ × 227¹
LCM(31538,31553) = 995118514