What is the Least Common Multiple of 31635 and 31641?

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 31635 and 31641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31635 and 31641, than apply into the LCM equation.

GCF(31635,31641) = 3
LCM(31635,31641) = ( 31635 × 31641) / 3
LCM(31635,31641) = 1000963035 / 3
LCM(31635,31641) = 333654345

Least Common Multiple (LCM) of 31635 and 31641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31635 and 31641. First we will calculate the prime factors of 31635 and 31641.

Prime Factorization of 31635

Prime Factorization of 31641

Now multiplying the highest exponent prime factors to calculate the LCM of 31635 and 31641.

LCM(31635,31641) = 3² × 5¹ × 19¹ × 37¹ × 53¹ × 199¹
LCM(31635,31641) = 333654345