What is the Least Common Multiple of 31449 and 31461?

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 31449 and 31461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31449 and 31461, than apply into the LCM equation.

GCF(31449,31461) = 3
LCM(31449,31461) = ( 31449 × 31461) / 3
LCM(31449,31461) = 989416989 / 3
LCM(31449,31461) = 329805663

Least Common Multiple (LCM) of 31449 and 31461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31449 and 31461. First we will calculate the prime factors of 31449 and 31461.

Prime Factorization of 31449

Prime Factorization of 31461

Now multiplying the highest exponent prime factors to calculate the LCM of 31449 and 31461.

LCM(31449,31461) = 3¹ × 11¹ × 953¹ × 10487¹
LCM(31449,31461) = 329805663