What is the Least Common Multiple of 48540 and 48549?

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 48540 and 48549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48540 and 48549, than apply into the LCM equation.

GCF(48540,48549) = 3
LCM(48540,48549) = ( 48540 × 48549) / 3
LCM(48540,48549) = 2356568460 / 3
LCM(48540,48549) = 785522820

Least Common Multiple (LCM) of 48540 and 48549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48540 and 48549. First we will calculate the prime factors of 48540 and 48549.

Prime Factorization of 48540

Prime Factorization of 48549

Now multiplying the highest exponent prime factors to calculate the LCM of 48540 and 48549.

LCM(48540,48549) = 2² × 3¹ × 5¹ × 809¹ × 16183¹
LCM(48540,48549) = 785522820