What is the Least Common Multiple of 31654 and 31668?

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 31654 and 31668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31654 and 31668, than apply into the LCM equation.

GCF(31654,31668) = 14
LCM(31654,31668) = ( 31654 × 31668) / 14
LCM(31654,31668) = 1002418872 / 14
LCM(31654,31668) = 71601348

Least Common Multiple (LCM) of 31654 and 31668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31654 and 31668. First we will calculate the prime factors of 31654 and 31668.

Prime Factorization of 31654

Prime Factorization of 31668

Now multiplying the highest exponent prime factors to calculate the LCM of 31654 and 31668.

LCM(31654,31668) = 2² × 7² × 17¹ × 19¹ × 3¹ × 13¹ × 29¹
LCM(31654,31668) = 71601348