What is the Least Common Multiple of 31644 and 31661?

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 31644 and 31661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31644 and 31661, than apply into the LCM equation.

GCF(31644,31661) = 1
LCM(31644,31661) = ( 31644 × 31661) / 1
LCM(31644,31661) = 1001880684 / 1
LCM(31644,31661) = 1001880684

Least Common Multiple (LCM) of 31644 and 31661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31644 and 31661. First we will calculate the prime factors of 31644 and 31661.

Prime Factorization of 31644

Prime Factorization of 31661

Now multiplying the highest exponent prime factors to calculate the LCM of 31644 and 31661.

LCM(31644,31661) = 2² × 3³ × 293¹ × 7¹ × 4523¹
LCM(31644,31661) = 1001880684