What is the Least Common Multiple of 48039 and 48045?

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 48039 and 48045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48039 and 48045, than apply into the LCM equation.

GCF(48039,48045) = 3
LCM(48039,48045) = ( 48039 × 48045) / 3
LCM(48039,48045) = 2308033755 / 3
LCM(48039,48045) = 769344585

Least Common Multiple (LCM) of 48039 and 48045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48039 and 48045. First we will calculate the prime factors of 48039 and 48045.

Prime Factorization of 48039

Prime Factorization of 48045

Now multiplying the highest exponent prime factors to calculate the LCM of 48039 and 48045.

LCM(48039,48045) = 3¹ × 67¹ × 239¹ × 5¹ × 3203¹
LCM(48039,48045) = 769344585