What is the Least Common Multiple of 74544 and 74563?

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 74563 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 74563, than apply into the LCM equation.

GCF(74544,74563) = 1
LCM(74544,74563) = ( 74544 × 74563) / 1
LCM(74544,74563) = 5558224272 / 1
LCM(74544,74563) = 5558224272

Least Common Multiple (LCM) of 74544 and 74563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74544 and 74563. First we will calculate the prime factors of 74544 and 74563.

Prime Factorization of 74544

Prime Factorization of 74563

Now multiplying the highest exponent prime factors to calculate the LCM of 74544 and 74563.

LCM(74544,74563) = 2⁴ × 3¹ × 1553¹ × 173¹ × 431¹
LCM(74544,74563) = 5558224272