What is the Least Common Multiple of 60030 and 60039?

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 60030 and 60039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60030 and 60039, than apply into the LCM equation.

GCF(60030,60039) = 9
LCM(60030,60039) = ( 60030 × 60039) / 9
LCM(60030,60039) = 3604141170 / 9
LCM(60030,60039) = 400460130

Least Common Multiple (LCM) of 60030 and 60039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60030 and 60039. First we will calculate the prime factors of 60030 and 60039.

Prime Factorization of 60030

Prime Factorization of 60039

Now multiplying the highest exponent prime factors to calculate the LCM of 60030 and 60039.

LCM(60030,60039) = 2¹ × 3² × 5¹ × 23¹ × 29¹ × 7¹ × 953¹
LCM(60030,60039) = 400460130