What is the Least Common Multiple of 42030 and 42039?

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 42030 and 42039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42030 and 42039, than apply into the LCM equation.

GCF(42030,42039) = 9
LCM(42030,42039) = ( 42030 × 42039) / 9
LCM(42030,42039) = 1766899170 / 9
LCM(42030,42039) = 196322130

Least Common Multiple (LCM) of 42030 and 42039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42030 and 42039. First we will calculate the prime factors of 42030 and 42039.

Prime Factorization of 42030

Prime Factorization of 42039

Now multiplying the highest exponent prime factors to calculate the LCM of 42030 and 42039.

LCM(42030,42039) = 2¹ × 3⁵ × 5¹ × 467¹ × 173¹
LCM(42030,42039) = 196322130