What is the Least Common Multiple of 29766 and 29781?

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 29766 and 29781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29766 and 29781, than apply into the LCM equation.

GCF(29766,29781) = 3
LCM(29766,29781) = ( 29766 × 29781) / 3
LCM(29766,29781) = 886461246 / 3
LCM(29766,29781) = 295487082

Least Common Multiple (LCM) of 29766 and 29781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29766 and 29781. First we will calculate the prime factors of 29766 and 29781.

Prime Factorization of 29766

Prime Factorization of 29781

Now multiplying the highest exponent prime factors to calculate the LCM of 29766 and 29781.

LCM(29766,29781) = 2¹ × 3³ × 11² × 41¹ × 1103¹
LCM(29766,29781) = 295487082