What is the Least Common Multiple of 29100 and 29120?

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 29100 and 29120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29100 and 29120, than apply into the LCM equation.

GCF(29100,29120) = 20
LCM(29100,29120) = ( 29100 × 29120) / 20
LCM(29100,29120) = 847392000 / 20
LCM(29100,29120) = 42369600

Least Common Multiple (LCM) of 29100 and 29120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29100 and 29120. First we will calculate the prime factors of 29100 and 29120.

Prime Factorization of 29100

Prime Factorization of 29120

Now multiplying the highest exponent prime factors to calculate the LCM of 29100 and 29120.

LCM(29100,29120) = 2⁶ × 3¹ × 5² × 97¹ × 7¹ × 13¹
LCM(29100,29120) = 42369600