What is the Least Common Multiple of 29910 and 29929?

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 29910 and 29929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29910 and 29929, than apply into the LCM equation.

GCF(29910,29929) = 1
LCM(29910,29929) = ( 29910 × 29929) / 1
LCM(29910,29929) = 895176390 / 1
LCM(29910,29929) = 895176390

Least Common Multiple (LCM) of 29910 and 29929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29910 and 29929. First we will calculate the prime factors of 29910 and 29929.

Prime Factorization of 29910

Prime Factorization of 29929

Now multiplying the highest exponent prime factors to calculate the LCM of 29910 and 29929.

LCM(29910,29929) = 2¹ × 3¹ × 5¹ × 997¹ × 173²
LCM(29910,29929) = 895176390