What is the Least Common Multiple of 29574 and 29580?

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 29574 and 29580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29574 and 29580, than apply into the LCM equation.

GCF(29574,29580) = 6
LCM(29574,29580) = ( 29574 × 29580) / 6
LCM(29574,29580) = 874798920 / 6
LCM(29574,29580) = 145799820

Least Common Multiple (LCM) of 29574 and 29580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29574 and 29580. First we will calculate the prime factors of 29574 and 29580.

Prime Factorization of 29574

Prime Factorization of 29580

Now multiplying the highest exponent prime factors to calculate the LCM of 29574 and 29580.

LCM(29574,29580) = 2² × 3² × 31¹ × 53¹ × 5¹ × 17¹ × 29¹
LCM(29574,29580) = 145799820