What is the Least Common Multiple of 63039 and 63045?

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 63039 and 63045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63039 and 63045, than apply into the LCM equation.

GCF(63039,63045) = 3
LCM(63039,63045) = ( 63039 × 63045) / 3
LCM(63039,63045) = 3974293755 / 3
LCM(63039,63045) = 1324764585

Least Common Multiple (LCM) of 63039 and 63045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63039 and 63045. First we will calculate the prime factors of 63039 and 63045.

Prime Factorization of 63039

Prime Factorization of 63045

Now multiplying the highest exponent prime factors to calculate the LCM of 63039 and 63045.

LCM(63039,63045) = 3³ × 21013¹ × 5¹ × 467¹
LCM(63039,63045) = 1324764585