What is the Least Common Multiple of 65019 and 65039?

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 65019 and 65039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65019 and 65039, than apply into the LCM equation.

GCF(65019,65039) = 1
LCM(65019,65039) = ( 65019 × 65039) / 1
LCM(65019,65039) = 4228770741 / 1
LCM(65019,65039) = 4228770741

Least Common Multiple (LCM) of 65019 and 65039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65019 and 65039. First we will calculate the prime factors of 65019 and 65039.

Prime Factorization of 65019

Prime Factorization of 65039

Now multiplying the highest exponent prime factors to calculate the LCM of 65019 and 65039.

LCM(65019,65039) = 3¹ × 21673¹ × 13¹ × 5003¹
LCM(65019,65039) = 4228770741