What is the Least Common Multiple of 62544 and 62562?

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 62544 and 62562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62544 and 62562, than apply into the LCM equation.

GCF(62544,62562) = 6
LCM(62544,62562) = ( 62544 × 62562) / 6
LCM(62544,62562) = 3912877728 / 6
LCM(62544,62562) = 652146288

Least Common Multiple (LCM) of 62544 and 62562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62544 and 62562. First we will calculate the prime factors of 62544 and 62562.

Prime Factorization of 62544

Prime Factorization of 62562

Now multiplying the highest exponent prime factors to calculate the LCM of 62544 and 62562.

LCM(62544,62562) = 2⁴ × 3¹ × 1303¹ × 10427¹
LCM(62544,62562) = 652146288