What is the Least Common Multiple of 62036 and 62049?

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 62036 and 62049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62036 and 62049, than apply into the LCM equation.

GCF(62036,62049) = 13
LCM(62036,62049) = ( 62036 × 62049) / 13
LCM(62036,62049) = 3849271764 / 13
LCM(62036,62049) = 296097828

Least Common Multiple (LCM) of 62036 and 62049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62036 and 62049. First we will calculate the prime factors of 62036 and 62049.

Prime Factorization of 62036

Prime Factorization of 62049

Now multiplying the highest exponent prime factors to calculate the LCM of 62036 and 62049.

LCM(62036,62049) = 2² × 13¹ × 1193¹ × 3¹ × 37¹ × 43¹
LCM(62036,62049) = 296097828