What is the Least Common Multiple of 31635 and 31650?

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 31650 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 31650, than apply into the LCM equation.

GCF(31635,31650) = 15
LCM(31635,31650) = ( 31635 × 31650) / 15
LCM(31635,31650) = 1001247750 / 15
LCM(31635,31650) = 66749850

Least Common Multiple (LCM) of 31635 and 31650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31635 and 31650. First we will calculate the prime factors of 31635 and 31650.

Prime Factorization of 31635

Prime Factorization of 31650

Now multiplying the highest exponent prime factors to calculate the LCM of 31635 and 31650.

LCM(31635,31650) = 3² × 5² × 19¹ × 37¹ × 2¹ × 211¹
LCM(31635,31650) = 66749850