What is the Least Common Multiple of 48549 and 48565?

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 48549 and 48565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48549 and 48565, than apply into the LCM equation.

GCF(48549,48565) = 1
LCM(48549,48565) = ( 48549 × 48565) / 1
LCM(48549,48565) = 2357782185 / 1
LCM(48549,48565) = 2357782185

Least Common Multiple (LCM) of 48549 and 48565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48549 and 48565. First we will calculate the prime factors of 48549 and 48565.

Prime Factorization of 48549

Prime Factorization of 48565

Now multiplying the highest exponent prime factors to calculate the LCM of 48549 and 48565.

LCM(48549,48565) = 3¹ × 16183¹ × 5¹ × 11¹ × 883¹
LCM(48549,48565) = 2357782185