What is the Least Common Multiple of 29824 and 29830?

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 29824 and 29830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29824 and 29830, than apply into the LCM equation.

GCF(29824,29830) = 2
LCM(29824,29830) = ( 29824 × 29830) / 2
LCM(29824,29830) = 889649920 / 2
LCM(29824,29830) = 444824960

Least Common Multiple (LCM) of 29824 and 29830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29824 and 29830. First we will calculate the prime factors of 29824 and 29830.

Prime Factorization of 29824

Prime Factorization of 29830

Now multiplying the highest exponent prime factors to calculate the LCM of 29824 and 29830.

LCM(29824,29830) = 2⁷ × 233¹ × 5¹ × 19¹ × 157¹
LCM(29824,29830) = 444824960