What is the Least Common Multiple of 74544 and 74553?

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 74544 and 74553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74544 and 74553, than apply into the LCM equation.

GCF(74544,74553) = 3
LCM(74544,74553) = ( 74544 × 74553) / 3
LCM(74544,74553) = 5557478832 / 3
LCM(74544,74553) = 1852492944

Least Common Multiple (LCM) of 74544 and 74553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74544 and 74553. First we will calculate the prime factors of 74544 and 74553.

Prime Factorization of 74544

Prime Factorization of 74553

Now multiplying the highest exponent prime factors to calculate the LCM of 74544 and 74553.

LCM(74544,74553) = 2⁴ × 3¹ × 1553¹ × 24851¹
LCM(74544,74553) = 1852492944