What is the Least Common Multiple of 29120 and 29140?

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 29120 and 29140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29120 and 29140, than apply into the LCM equation.

GCF(29120,29140) = 20
LCM(29120,29140) = ( 29120 × 29140) / 20
LCM(29120,29140) = 848556800 / 20
LCM(29120,29140) = 42427840

Least Common Multiple (LCM) of 29120 and 29140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29120 and 29140. First we will calculate the prime factors of 29120 and 29140.

Prime Factorization of 29120

Prime Factorization of 29140

Now multiplying the highest exponent prime factors to calculate the LCM of 29120 and 29140.

LCM(29120,29140) = 2⁶ × 5¹ × 7¹ × 13¹ × 31¹ × 47¹
LCM(29120,29140) = 42427840