What is the Least Common Multiple of 31632 and 31649?

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 31632 and 31649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31632 and 31649, than apply into the LCM equation.

GCF(31632,31649) = 1
LCM(31632,31649) = ( 31632 × 31649) / 1
LCM(31632,31649) = 1001121168 / 1
LCM(31632,31649) = 1001121168

Least Common Multiple (LCM) of 31632 and 31649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31632 and 31649. First we will calculate the prime factors of 31632 and 31649.

Prime Factorization of 31632

Prime Factorization of 31649

Now multiplying the highest exponent prime factors to calculate the LCM of 31632 and 31649.

LCM(31632,31649) = 2⁴ × 3¹ × 659¹ × 31649¹
LCM(31632,31649) = 1001121168