What is the Least Common Multiple of 29470 and 29484?

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 29470 and 29484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29470 and 29484, than apply into the LCM equation.

GCF(29470,29484) = 14
LCM(29470,29484) = ( 29470 × 29484) / 14
LCM(29470,29484) = 868893480 / 14
LCM(29470,29484) = 62063820

Least Common Multiple (LCM) of 29470 and 29484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29470 and 29484. First we will calculate the prime factors of 29470 and 29484.

Prime Factorization of 29470

Prime Factorization of 29484

Now multiplying the highest exponent prime factors to calculate the LCM of 29470 and 29484.

LCM(29470,29484) = 2² × 5¹ × 7¹ × 421¹ × 3⁴ × 13¹
LCM(29470,29484) = 62063820