What is the Least Common Multiple of 63003 and 63014?

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 63003 and 63014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63003 and 63014, than apply into the LCM equation.

GCF(63003,63014) = 1
LCM(63003,63014) = ( 63003 × 63014) / 1
LCM(63003,63014) = 3970071042 / 1
LCM(63003,63014) = 3970071042

Least Common Multiple (LCM) of 63003 and 63014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63003 and 63014. First we will calculate the prime factors of 63003 and 63014.

Prime Factorization of 63003

Prime Factorization of 63014

Now multiplying the highest exponent prime factors to calculate the LCM of 63003 and 63014.

LCM(63003,63014) = 3¹ × 21001¹ × 2¹ × 7² × 643¹
LCM(63003,63014) = 3970071042