What is the Least Common Multiple of 29055 and 29070?

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 29055 and 29070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29055 and 29070, than apply into the LCM equation.

GCF(29055,29070) = 15
LCM(29055,29070) = ( 29055 × 29070) / 15
LCM(29055,29070) = 844628850 / 15
LCM(29055,29070) = 56308590

Least Common Multiple (LCM) of 29055 and 29070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29055 and 29070. First we will calculate the prime factors of 29055 and 29070.

Prime Factorization of 29055

Prime Factorization of 29070

Now multiplying the highest exponent prime factors to calculate the LCM of 29055 and 29070.

LCM(29055,29070) = 3² × 5¹ × 13¹ × 149¹ × 2¹ × 17¹ × 19¹
LCM(29055,29070) = 56308590