What is the Least Common Multiple of 29820 and 29829?

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 29820 and 29829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29820 and 29829, than apply into the LCM equation.

GCF(29820,29829) = 3
LCM(29820,29829) = ( 29820 × 29829) / 3
LCM(29820,29829) = 889500780 / 3
LCM(29820,29829) = 296500260

Least Common Multiple (LCM) of 29820 and 29829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29820 and 29829. First we will calculate the prime factors of 29820 and 29829.

Prime Factorization of 29820

Prime Factorization of 29829

Now multiplying the highest exponent prime factors to calculate the LCM of 29820 and 29829.

LCM(29820,29829) = 2² × 3¹ × 5¹ × 7¹ × 71¹ × 61¹ × 163¹
LCM(29820,29829) = 296500260