What is the Least Common Multiple of 29130 and 29135?

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 29130 and 29135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29130 and 29135, than apply into the LCM equation.

GCF(29130,29135) = 5
LCM(29130,29135) = ( 29130 × 29135) / 5
LCM(29130,29135) = 848702550 / 5
LCM(29130,29135) = 169740510

Least Common Multiple (LCM) of 29130 and 29135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29130 and 29135. First we will calculate the prime factors of 29130 and 29135.

Prime Factorization of 29130

Prime Factorization of 29135

Now multiplying the highest exponent prime factors to calculate the LCM of 29130 and 29135.

LCM(29130,29135) = 2¹ × 3¹ × 5¹ × 971¹ × 5827¹
LCM(29130,29135) = 169740510