What is the Least Common Multiple of 31668 and 31681?

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 31668 and 31681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31668 and 31681, than apply into the LCM equation.

GCF(31668,31681) = 13
LCM(31668,31681) = ( 31668 × 31681) / 13
LCM(31668,31681) = 1003273908 / 13
LCM(31668,31681) = 77174916

Least Common Multiple (LCM) of 31668 and 31681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31668 and 31681. First we will calculate the prime factors of 31668 and 31681.

Prime Factorization of 31668

Prime Factorization of 31681

Now multiplying the highest exponent prime factors to calculate the LCM of 31668 and 31681.

LCM(31668,31681) = 2² × 3¹ × 7¹ × 13¹ × 29¹ × 2437¹
LCM(31668,31681) = 77174916