What is the Least Common Multiple of 29766 and 29775?

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 29775 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 29775, than apply into the LCM equation.

GCF(29766,29775) = 3
LCM(29766,29775) = ( 29766 × 29775) / 3
LCM(29766,29775) = 886282650 / 3
LCM(29766,29775) = 295427550

Least Common Multiple (LCM) of 29766 and 29775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29766 and 29775. First we will calculate the prime factors of 29766 and 29775.

Prime Factorization of 29766

Prime Factorization of 29775

Now multiplying the highest exponent prime factors to calculate the LCM of 29766 and 29775.

LCM(29766,29775) = 2¹ × 3¹ × 11² × 41¹ × 5² × 397¹
LCM(29766,29775) = 295427550