What is the Least Common Multiple of 63036 and 63041?

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 63036 and 63041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63036 and 63041, than apply into the LCM equation.

GCF(63036,63041) = 1
LCM(63036,63041) = ( 63036 × 63041) / 1
LCM(63036,63041) = 3973852476 / 1
LCM(63036,63041) = 3973852476

Least Common Multiple (LCM) of 63036 and 63041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63036 and 63041. First we will calculate the prime factors of 63036 and 63041.

Prime Factorization of 63036

Prime Factorization of 63041

Now multiplying the highest exponent prime factors to calculate the LCM of 63036 and 63041.

LCM(63036,63041) = 2² × 3² × 17¹ × 103¹ × 11² × 521¹
LCM(63036,63041) = 3973852476