What is the Least Common Multiple of 72548 and 72553?

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 72548 and 72553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72548 and 72553, than apply into the LCM equation.

GCF(72548,72553) = 1
LCM(72548,72553) = ( 72548 × 72553) / 1
LCM(72548,72553) = 5263575044 / 1
LCM(72548,72553) = 5263575044

Least Common Multiple (LCM) of 72548 and 72553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72548 and 72553. First we will calculate the prime factors of 72548 and 72553.

Prime Factorization of 72548

Prime Factorization of 72553

Now multiplying the highest exponent prime factors to calculate the LCM of 72548 and 72553.

LCM(72548,72553) = 2² × 7¹ × 2591¹ × 13¹ × 5581¹
LCM(72548,72553) = 5263575044