What is the Least Common Multiple of 29544 and 29562?

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 29544 and 29562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29544 and 29562, than apply into the LCM equation.

GCF(29544,29562) = 6
LCM(29544,29562) = ( 29544 × 29562) / 6
LCM(29544,29562) = 873379728 / 6
LCM(29544,29562) = 145563288

Least Common Multiple (LCM) of 29544 and 29562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29544 and 29562. First we will calculate the prime factors of 29544 and 29562.

Prime Factorization of 29544

Prime Factorization of 29562

Now multiplying the highest exponent prime factors to calculate the LCM of 29544 and 29562.

LCM(29544,29562) = 2³ × 3¹ × 1231¹ × 13¹ × 379¹
LCM(29544,29562) = 145563288