What is the Least Common Multiple of 31635 and 31646?

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 31646 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 31646, than apply into the LCM equation.

GCF(31635,31646) = 1
LCM(31635,31646) = ( 31635 × 31646) / 1
LCM(31635,31646) = 1001121210 / 1
LCM(31635,31646) = 1001121210

Least Common Multiple (LCM) of 31635 and 31646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31635 and 31646. First we will calculate the prime factors of 31635 and 31646.

Prime Factorization of 31635

Prime Factorization of 31646

Now multiplying the highest exponent prime factors to calculate the LCM of 31635 and 31646.

LCM(31635,31646) = 3² × 5¹ × 19¹ × 37¹ × 2¹ × 15823¹
LCM(31635,31646) = 1001121210