What is the Least Common Multiple of 31635 and 31639?

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 31639 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 31639, than apply into the LCM equation.

GCF(31635,31639) = 1
LCM(31635,31639) = ( 31635 × 31639) / 1
LCM(31635,31639) = 1000899765 / 1
LCM(31635,31639) = 1000899765

Least Common Multiple (LCM) of 31635 and 31639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31635 and 31639. First we will calculate the prime factors of 31635 and 31639.

Prime Factorization of 31635

Prime Factorization of 31639

Now multiplying the highest exponent prime factors to calculate the LCM of 31635 and 31639.

LCM(31635,31639) = 3² × 5¹ × 19¹ × 37¹ × 29¹ × 1091¹
LCM(31635,31639) = 1000899765